Luigi Ambrosio
[ambrosio]
Full Professor, SNS Pisa
Email: ambrosio AT sns.it
Available papers (152):
[plain text]- L. Ambrosio - F. Vitillaro - D. Trevisan (preprint)
Sharp PDE estimates for random two-dimensional bipartite matching with power cost function (2024) - L. Ambrosio - T. Ikonen - D. Lučić - E. Pasqualetto (preprint)
Metric Sobolev spaces I: equivalence of definitions (2024) - L. Ambrosio - C. Brena - S. Conti (Arch. Ration. Math. Anal.)
Functions with bounded Hessian-Schatten variation: density, variational and extremality properties (2023) - L. Ambrosio - S. Nicolussi Golo - F. Serra Cassano (preprint)
Classical flows of vector fields with exponential or sub-exponential summability (2022) - L. Ambrosio - S. Nicolussi Golo - F. Serra Cassano (preprint)
Optimal $C^\infty$-approximation of functions with exponentially or sub-exponentially integrable derivative (2022) - L. Ambrosio - S. Aziznejad - C. Brena - M. Unser (Calc. Var. PDE)
Linear Inverse Problems with Hessian-Schatten Total Variation (2022) - L. Ambrosio - D. Tewodrose - S. Honda - J. Portegies (Journal of Functional Analysis)
Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions (2021) - L. Ambrosio - M. Goldman - D. Trevisan (Accepted Paper: Electronic J. Probability)
On the quadratic random matching problem in two-dimensional domains (2021) - L. Ambrosio - C. Brena (Discrete Contin. Dyn. Syst.)
Stability of a class of action functionals depending on convex functions (2021) - L. Ambrosio - G. Stefani (Rev. Mat. Iberoam.)
Heat and entropy flows in Carnot groups (2020) - L. Ambrosio - E. Bruè - D. Semola (Geom. Funct. Anal.)
Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces (2019) - L. Ambrosio - F. Glaudo - D. Trevisan (Preprint)
On the optimal map in the 2-dimensional random matching problem (2019) - L. Ambrosio (Submitted Paper)
Calculus, heat flow and curvature-dimension bounds in metric measure spaces (2018) - L. Ambrosio - S. Honda - D. Tewodrose (Annals of Global Analysis and Geometry)
Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces (2018) - L. Ambrosio - C. De Lellis - T. Schmidt (J. Reine Angew. Math.)
Partial regularity for mass-minimizing currents in Hilbert spaces (2018) - L. Ambrosio - F. Glaudo (Submitted Paper)
Finer estimates on the 2-dimensional matching problem (2018) - L. Ambrosio - G. E. Comi (Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg)
Anisotropic surface measures as limits of volume fractions (2018) - L. Ambrosio - A. Ponce - R. Rodiac (Accepted Paper: Revista Matemática Iberoamericana)
Critical weak-$L^{p}$ differentiability of singular integrals (2018) - L. Ambrosio - M. Fornasier - M. Morandotti - G. Savaré (Accepted Paper: CPAM)
Spatially Inhomogeneous Evolutionary Games (2018) - L. Ambrosio - S. Honda (Submitted Paper)
Local spectral convergence in $RCD^*(K,N)$ spaces (2017) - L. Ambrosio (Submitted Paper)
Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications (2017) - L. Ambrosio - S. Honda - J. Portegies (Submitted Paper)
Continuity of nonlinear eigenvalues in $CD(K,\infty)$ spaces with respect to measured Gromov-Hausdorff convergence (2017) - L. Ambrosio - E. Bruè - D. Trevisan (Adv. Math.)
Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces (2017) - L. Ambrosio - M. Colombo - A. Figalli (Duke Math. J.)
On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017) - L. Ambrosio - S. Honda (Submitted Paper)
New stability results for sequences of metric measure spaces with uniform Ricci bounds from below (2016) - L. Ambrosio - D. Puglisi (Submitted Paper)
Linear extension operators between spaces of Lipschitz maps and Optimal Transport} (2016) - L. Ambrosio - A. Mondino (Rend. Lincei Mat. Appl.)
Gaussian-type Isoperimetric Inequalities in $RCD(K,\infty)$ probability spaces for positive $K$ (2016) - L. Ambrosio - F. Stra - D. Trevisan (Preprint)
A PDE approach to a 2-dimensional matching problem (2016) - L. Ambrosio - F. Stra - D. Trevisan (Submitted Paper)
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence (2016) - L. Ambrosio - N. Gigli - S. Di Marino (Submitted Paper: Nonlinear Analysis: Theory, Methods & Applications)
Perimeter as relaxed Minkowski content in metric measure spaces (2016) - L. Ambrosio - H. Brezis - J. Bourgain - A. Figalli (Comm. Pure Appl. Math.)
$BMO$-type norms related to the perimeter of sets (2016) - L. Ambrosio (Submitted Paper)
Regularity theory for mass-minimizing currents (after Almgren-De Lellis-Spadaro) (2015) - L. Ambrosio - J. Bertrand (Submitted Paper)
DC Calculus (2015) - L. Ambrosio - R. Ghezzi (Submitted Paper)
Sobolev and Bounded Variation Functions on Metric Measure Spaces (2015) - L. Ambrosio - M. Erbar - G. Savaré (Submitted Paper)
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces (2015) - L. Ambrosio - R. Ghezzi - V. Magnani (Ann. Inst. H. Poincaré Anal. Non Linéaire)
BV functions and sets of finite perimeters in sub-Riemannian manifolds (2015) - L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper: Memoirs Amer. Math. Soc.)
Nonlinear diffusion equations and curvature conditions in metric measure spaces (2015) - L. Ambrosio - A. Pinamonti - G. Speight (Accepted paper: J. Reine Angew. Math.)
Weighted Sobolev Spaces on Metric Measure Spaces (2015) - L. Ambrosio - D. Trevisan (Preprint)
Lecture notes on the DiPerna-Lions theory in abstract measure spaces (2015) - L. Ambrosio - M. Miranda Jr - D. Pallara (Anal. Geom. Metr. Spaces)
Some fine properties of $BV$ functions on Wiener spaces (2015) - L. Ambrosio - M. Colombo - A. Figalli (Arch. Ration. Mech. Anal.)
Existence and uniqueness of maximal regular flows for non-smooth vector fields (2015) - L. Ambrosio - S. Di Marino (J. Funct. Anal.)
Equivalent definitions of $BV$ space and of total variation on metric measure spaces (2014) - L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper: Journal of Geometric Analysis)
On the Bakry-Èmery condition, the gradient estimates and the Local-to-Global property of $RCD^*(K,N)$ metric measure spaces (2014) - L. Ambrosio - G. Crippa (Proceedings of the Royal Society of Edinburgh: Section A)
Continuity equations and ODE flows with non-smooth velocity (2014) - L. Ambrosio - A. Pinamonti - G. Speight (Advances in Mathematics)
Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs (2014) - L. Ambrosio - D. Trevisan (Analysis and PDE)
Well posedness of Lagrangian flows and continuity equations in metric measure spaces (2014) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Discrete Contin. Dyn. Syst.)
A global existence result for the semigeostrophic equations in three dimensional convex domains (2014) - L. Ambrosio - T. Schmidt (Proc. Lond. Math. Soc. (3))
Compactness results for normal currents and the Plateau problem in dual Banach spaces (2013) - L. Ambrosio - J. Feng (Submitted Paper)
On a class of first order Hamilton-Jacobi equations in metric spaces (2013) - L. Ambrosio - S. Di Marino - G. Savaré (Submitted Paper)
On the duality between p-Modulus and probability measures (2013) - L. Ambrosio - A. Figalli - E. Runa (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.)
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces (2013) - L. Ambrosio - T. Rajala (Accepted Paper: Ann. Mat. Pura Appl.)
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces (2012) - L. Ambrosio - F. Ghiraldin (Ann. Inst. H. Poincaré Anal. Non Linéaire )
Flat chains with finite size in metric spaces (2012) - L. Ambrosio - N. Gigli - G. Savaré (Preprint)
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case (2012) - L. Ambrosio - F. Ghiraldin (Analysis and Geometry in Metric Spaces)
Compactness of special functions of bounded higher variation (2012) - L. Ambrosio - N. Gigli - A. Mondino - T. Rajala (Accepted Paper: Transactions of the AMS)
Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure (2012) - L. Ambrosio - G. Da Prato - B. Goldys - D. Pallara (Comm. P. D. E. )
Bounded variation with respect to a log-concave measure (2012) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds (2012) - L. Ambrosio - G. Crasta - V. De Cicco - G. De Philippis (Accepted Paper: Manuscripta Math.)
A nonautonomous chain rule in $W^{1,p}$ and in $BV$ (2012) - L. Ambrosio - M. Colombo - S. Di Marino (Accepted Paper: Advanced Studies in Pure Mathematics: "Variational methods for evolving objects")
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope (2012) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Comm. Partial Differential Equations)
Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case (2012) - L. Ambrosio - N. Gigli
A user's guide to optimal transport (2011) - L. Ambrosio - G. De Philippis - B. Kirchheim (Rend. Lincei - Mat. e Appl.)
Regularity of optimal transport maps and partial differential inclusions (2011) - L. Ambrosio (Proceedings)
An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces (2011) - L. Ambrosio - E. Mainini - S. Serfaty (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Metric measure spaces with Riemannian Ricci curvature bounded from below (2011) - L. Ambrosio - G. De Philippis - L. Martinazzi (Manuscripta Math.)
Gamma-convergence of nonlocal perimeter functionals (2011) - L. Ambrosio - A. Figalli (Ann. Fac. Sci. Toulouse Math.)
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces (2011) - L. Ambrosio - L. Ambrosio - G. Crippa - G. Crippa - A. Figalli - A. Figalli - L. V. Spinolo - L. V. Spinolo (IMA Vol. Math. Appl.)
Existence and uniqueness results for the continuity equation and applications to the chromatography system (2011) - L. Ambrosio - L. Ambrosio - G. Crippa - G. Crippa - A. Figalli - A. Figalli - L. V. Spinolo - L. V. Spinolo (IMA Vol. Math. Appl.)
Existence and uniqueness results for the continuity equation and applications to the chromatography system (2011) - L. Ambrosio - S. Maniglia - M. Miranda Jr - D. Pallara (J. Funct. Anal.)
BV functions in abstract Wiener spaces (2010) - L. Ambrosio - S. Maniglia - M. Miranda Jr - D. Pallara (Physica D)
Towards a theory of BV functions in abstract Wiener spaces (2010) - L. Ambrosio - G. Da Prato - D. Pallara (Rend. Acc. Lincei)
BV functions in a Hilbert space with respect to a Gaussian measure (2010) - L. Ambrosio - E. Durand-Cartagena (Preprint)
Stepanov's Theorem in Wiener spaces (2010) - L. Ambrosio - E. Mainini (J. Evol. Equ.)
Infinite-dimensional porous media equations and optimal transportation (2010) - L. Ambrosio - M. Miranda Jr - D. Pallara (Discrete Contin. Dyn. Sys.)
Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability (2010) - L. Ambrosio - A. Lemenant - G. Royer Carfagni (Journal of Elasticity)
A variational model for plastic slip and its regularization via Gamma-convergence. (2010) - L. Ambrosio - A. Carlotto - A. Massaccesi (Lecture Notes)
Lectures on Elliptic Partial Differential Equations (2010) - L. Ambrosio - A. Figalli (C. R. Math. Acad. Sci. Paris)
Almost everywhere well-posedness of continuity equations with measure initial data (2010) - L. Ambrosio - E. Durand-Cartagena (Rend. Circ. Mat. Palermo )
Metric differentiability of Lipschitz maps defined on Wiener spaces (2009) - L. Ambrosio - G. Crippa - A. Figalli - L. V. Spinolo (SIAM J. Math. Anal.)
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system (2009) - L. Ambrosio - M. Scienza (Submitted Paper)
Locality of the perimeter in Carnot groups and chain rule (2009) - L. Ambrosio - A. Figalli (Lecture notes)
Lecture notes on variational models for incompressible Euler equations (2009) - L. Ambrosio - M. Katz (Submitted Paper)
Flat currents modulo $p$ in metric spaces and filling radius inequalities (2009) - L. Ambrosio (Submitted Paper)
The flow associated to weakly differentiable vector fields: recent results and open problems (2009) - L. Ambrosio - G. Friesecke - J. Giannoulis (Submitted Paper)
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions (2009) - L. Ambrosio - S. Wenger (Submitted Paper)
Rectifiability of flat chains in Banach spaces with coefficients in $*Z*_p$ (2009) - L. Ambrosio - A. Figalli (J. Funct. Anal.)
On flows associated to Sobolev vector fields in Wiener spaces: an approach a' la DiPerna-Lions (2009) - L. Ambrosio - A. Figalli (Arch. Rat. Mech. Anal.)
Geodesics in the space of measure-preserving maps and plans (2009) - L. Ambrosio - B. Kleiner - E. Le Donne (Preprint)
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane (2008) - L. Ambrosio - G. Crippa - P. G. LeFloch (Netw. Heterog. Media)
Leaf superposition property for integer rectifiable currents (2008) - L. Ambrosio - H. Frid - J. Silva (Accepted Paper: Journal of Functional Analysis)
Multiscale Young Measures in Homogenization of Continuous Stationary Processes in Compact Spaces and Applications (2008) - L. Ambrosio - G. Crippa (In: Transport Equations and Multi-D Hyperbolic Conservation Laws, Lecture Notes of the Unione Matematica Italiana)
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields (2008) - L. Ambrosio - N. Gigli (Accepted Paper: Methods and Applications of Analysis)
Construction of the parallel transport in the Wasserstein space (2008) - L. Ambrosio - P. Bernard (Submitted Paper)
Uniqueness of signed measures solving the continuity equation for Osgood vector fields (2008) - L. Ambrosio - A. Figalli (Calc. Var. Partial Differential Equations)
On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations (2008) - L. Ambrosio - F. Santambrogio (Rend. Lincei - Mat. e Appl.)
Necessary optimality conditions for geodesics in weighted Wasserstein spaces (2007) - L. Ambrosio - G. Savaré - L. Zambotti (Accepted Paper: Probability Theory and Related Fields)
Existence and Stability for Fokker-Planck equations with log-concave reference measures (2007) - L. Ambrosio - A. Colesanti - E. Villa (Submitted Paper)
One-sided Minkowski content for some classes of closed sets and applications to stochastic geometry (2007) - L. Ambrosio - S. Serfaty (Submitted Paper)
A gradient flow approach to an evolution problem arising in superconductivity (2007) - L. Ambrosio - C. De Lellis - J. Malý (Perspective in nonlinear partial differential equations)
On the chain rule for the divergence of BV like vector fields: applications, partial results, open problems (2007) - L. Ambrosio - V. Capasso - E. Villa (Submitted Paper)
On the approximation of geometric densities of random closed sets (2006) - L. Ambrosio - S. Lisini - G. Savaré (manuscripta math.)
Stability of flows associated to gradient vector fields and convergence of iterated transport maps (2006) - L. Ambrosio - F. Serra Cassano - D. Vittone (J. Geom. Anal.)
Intrinsic regular hypersurfaces in Heisenberg groups (2006) - L. Ambrosio - J. Malý (Submitted Paper)
Very weak notions of differentiability (2005) - L. Ambrosio - G. Crippa - S. Maniglia (Ann. Fac. Sci. Toulouse Math. (6))
Traces and fine properties of a $BD$ class of vector fields and applications (2005) - L. Ambrosio (Accepted Paper)
Steepest descent flows and applications to spaces of probability measures (2005) - L. Ambrosio - H. Frid (Submitted Paper)
Multiscale Young measures in almost periodic homogenization and applications (2005) - L. Ambrosio - M. Lecumberry - S. Maniglia (Submitted Paper)
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow (2005) - L. Ambrosio (Preprint)
Transport equation and Cauchy problem for non-smooth vector fields (2005) - L. Ambrosio - W. Gangbo (Submitted Paper)
Hamiltonian ODE's in the Wasserstein space of probability measures (2005) - L. Ambrosio - F. Bouchut - C. De Lellis (Comm. Partial Differential Equations)
Well--posedness for a class of hyperbolic systems of conservation laws in several space dimensions (2004) - L. Ambrosio - B. Kirchheim - A. Pratelli (Duke Math. J.)
Existence of optimal transport maps for crystalline norms (2004) - L. Ambrosio - M. Miranda Jr - D. Pallara (Quad. Mat.)
Special Functions of Bounded Variation in Doubling Metric Measure Spaces (2004) - L. Ambrosio - C. De Lellis (J. Hyperbolic Diff. Equ.)
A note on admissible solutions of 1d scalar conservation laws and 2d Hamilton-Jacobi equations (2004) - L. Ambrosio (Lecture Notes)
Lecture notes on transport equation and Cauchy problem for $BV$ vector fields and applications (2004) - L. Ambrosio (Accepted Paper: Inventiones Mathematicae)
Transport equation and Cauchy problem for BV vector fields (2003) - L. Ambrosio - C. De Lellis (International Mathematics Research Notices)
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions (2003) - L. Ambrosio - V. Magnani (Math. Z.)
Weak differentiability of BV functions on stratified groups (2003) - L. Ambrosio - N. Gigli - G. Savaré (Accepted Paper)
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space (2003) - L. Ambrosio - M. Lecumberry - T. Rivière (Accepted Paper: Communications on Pure and Applied Mathematics)
A viscosity property of minimizing micromagnetic configurations (2002) - L. Ambrosio - B. Kirchheim - M. Lecumberry - T. Rivière
On the rectifiability of defect measures arising in a micromagnetics model (2002) - L. Ambrosio - S. Masnou (Accepted Paper: Interfaces and Free Boundaries)
A direct variational approach to a problem arising in image reconstruction (2002) - L. Ambrosio (Set Valued Analysis)
Fine properties of sets of finite perimeter in doubling metric measure spaces (2002) - L. Ambrosio - M. Novaga - E. Paolini (ESAIM: COCV volume dedicated to J. L. Lions)
Some Regularity Results for Minimal Crystals (2002) - L. Ambrosio - S. Rigot (Accepted Paper: Journal of Functional Analysis)
Optimal Mass Transportation in the Heisenberg Group (2002) - L. Ambrosio - A. Pratelli
Existence and stability results in the $L^1$ theory of optimal transportation (2002) - L. Ambrosio (Advances in Mathematics)
Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces (2001) - L. Ambrosio - L. Faina - R. March (SIAM J. Math. Anal.)
Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision (2001) - L. Ambrosio - V. Caselles - S. Masnou - J. M. Morel (Journal of EMS. )
Connected Components of Sets of Finite Perimeter and Applications to Image Processing (2001) - L. Ambrosio - P. Colli Franzone - G. Savaré (Interfaces and Free Boundaries)
Gamma-Convergence of a Family of Anisotropic Functionals with Lack of Coercivity (2000) - L. Ambrosio (Lecture Notes)
Lecture Notes on Optimal Transport Problems (2000) - G. Alberti - L. Ambrosio - X. Cabré (Acta Appl. Math.)
On a long standing conjecture of E. De Giorgi: old and recent results (2000) - L. Ambrosio - X. Cabré (Journal of the AMS)
Entire Solutions of a Semilinear Elliptic Equation in ${\mathcal R}^3$ and a Conjecture of De Giorgi (2000) - L. Ambrosio - B. Kirchheim (Acta Mathematica)
Currents in Metric Spaces (2000) - L. Ambrosio - N. Fusco - D. Pallara (Diff. Int. Eqs.)
Higher Regularity of Solutions of Free Discontinuity Problems (1999) - L. Ambrosio - E. Paolini (Ricerche di Matematica)
Partial regularity for quasi minimizers of perimeter (1999) - L. Ambrosio - B. Kirchheim (Submitted to Math. Annalen. )
Rectifiable Sets in Metric and Banach Spaces (1999) - L. Ambrosio - C. De Lellis - C. Mantegazza (Calc. Var.)
Line Energies for Gradient Vector Fields in the Plane (1999) - L. Ambrosio - I. Fonseca - P. Marcellini - L. Tartar (To appear on Arch. Rat. Mech. Anal.)
On a Volume Constrained Variational Problem (1998) - L. Ambrosio - M. Gobbino - D. Pallara (J. Geom. Anal.)
Approximation problems for curvature varifolds (1998) - L. Ambrosio - C. Mantegazza (J. Geom. Anal.)
Curvature and Distance Function from a Manifold (1998) - L. Ambrosio - A. Coscia - G. Dal Maso (Arch. Rational Mech. Anal.)
Fine Properties of Functions with Bounded Deformation (1997) - L. Ambrosio - D. Pallara (Annali della Scuola Normale Superiore di Pisa)
Partial Regularity of Free Discontinuity Sets I (1997) - L. Ambrosio - N. Fusco - D. Pallara (Annali della Scuola Normale Superiore di Pisa)
Partial Regularity of Free Discontinuity Sets II (1997) - L. Ambrosio - A. Braides (Paper in Volume: Homogenization and Applications to Material Sciences, (D. Cioranescu, A. Damlamian, P. Donato eds.) GAKUTO, Gakkotosho, Tokio, Japan)
Energies in SBV and variational models in fracture mechanics. (1997) - G. Alberti - L. Ambrosio (Math. Zeit.)
A Geometrical Approach to Monotone Functions in ${\mathbb R}^n$ (1996) - L. Ambrosio - A. Braides - A. Garroni (partially unpublished manuscript)
Special functions with bounded variation and with weakly differentiable traces on the jump set (1995) - L. Ambrosio - A. Braides (J. Math. Pures. Appl.)
Functionals defined on partitions of sets of finite perimeter, I: integral representation and $\Gamma$-convergence (1990) - L. Ambrosio - A. Braides (J. Math. Pures. Appl.)
Functionals defined on partitions of sets of finite perimeter, II: semicontinuity, relaxation and homogenization (1990)
Seminars:
- 24 sep 2018: Well-posedness of ODE's in metric measure spaces
- 3 dec 2014: Characterizations of sets of finite perimeter: old and recent results
- 13 feb 2013: Spazi di Sobolev in spazi metrici di misura: risultati recenti e problemi aperti
- 9 nov 2011: On weak notions of gradient in metric measure spaces
- 17 nov 2010: Alcuni problemi di Teoria Geometrica della Misura in spazi Gaussiani
- 19 may 2010: Recenti sviluppi della teoria dei perimetri in spazi Gaussiani
- 28 jan 2009: Disuguaglianze isoperimetriche e teoria delle correnti
- 16 feb 2006: Equazioni di evoluzione di tipo Hamiltoniano nello spazio delle misure di probabilita'
- 15 nov 2004: Evolution problems for polyconvex functionals
- 15 oct 2003: Problema di Cauchy per campi a variazione limitata e applicazioni
- 27 feb 2003: Recenti sviluppi sulla congettura di De Giorgi per le soluzioni intere di equazioni ellittiche semilineari
- 1 dec 2000: Funzione distanza, soluzioni viscose e moto per curvatura media
- 17 nov 2000: Funzione distanza, soluzioni viscose e moto per curvatura media
Speaker:
- 1 sep 2024 - 7 sep 2024: VARIATIONAL ANALYSIS AND APPLICATIONS - 77th Course of the International School of Mathematics «Guido Stampacchia»
- 9 jun 2024 - 15 jun 2024: Geometric And Variational Analysis - In memory of Jan Malý
- 22 jan 2024 - 26 jan 2024: Modeling, analysis, and control of multi-agent systems across scales
- 21 nov 2023 - 21 nov 2023: Boundary value problems and applications. The legacy of Enrico Magenes.
- 30 jun 2022 - 1 jul 2022: Geometric Analysis in Metric Measure Spaces
- 20 jun 2022 - 24 jun 2022: Variational Challenges in Materials Science and Imaging
- 30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
- 27 jan 2020 - 1 feb 2020: Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
- 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
- 1 apr 2019 - 5 apr 2019: Optimal Transport and Geometric Analysis
- 17 jan 2019 - 19 jan 2019: Workshop "Variational problems, PDEs and applications"
- 24 sep 2018 - 28 sep 2018: Workshop MAR: Metric Analysis and Regularity
- 14 sep 2018 - 14 sep 2018: A sub-Riemannian day in Padova
- 6 jul 2018 - 8 jul 2018: Minimal Surfaces and Mean Curvature Flow - A Conference in Honor of Brian White
- 22 feb 2017 - 22 feb 2017: Mathematical and Numerical Modeling of the Cardiovascular System and Applications
- 4 oct 2016 - 7 oct 2016: Lecce Conference in Calculus of Variations and Partial Differential Equation - CDV2016
- 14 dec 2015 - 18 dec 2015: Trilateral Meeting on Nonlinear Partial Differential Equations and Applications
- 20 jul 2015 - 24 jul 2015: Summer school on Nonlinear PDE's and applications to Image Analysis. A scientific tribute to Vicent Caselles.
- 24 mar 2014 - 28 mar 2014: First Joint school ENS-Lyon SNS
- 15 jul 2013 - 2 aug 2013: School and Workshop on "Geometric Measure Theory and Optimal Transport"
- 18 jun 2012 - 22 jun 2012: Optimal Transport (to) Orsay
- 1 mar 2012 - 3 mar 2012: Trends in Mathematical Analysis
Organizer:
- 10 feb 2025 - 14 feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni
- 2 dec 2024 - 6 dec 2024: Optimal Transportation and Applications
- 16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
- 12 sep 2024 - 13 sep 2024: DIFFERENTIAL EVOLUTIVE PROBLEMS IN SPACES WITH SINGULARITIES
- 9 jun 2024 - 14 jun 2024: 13th School on Analysis and Geometry in Metric Spaces
- 12 feb 2024 - 16 feb 2024: XXXIII Convegno Nazionale di Calcolo delle Variazioni
- 8 may 2023 - 12 may 2023: XXXII Convegno Nazionale di Calcolo delle Variazioni
- 24 oct 2022 - 28 oct 2022: Optimal Transportation and Applications
- 27 jun 2022 - 29 jun 2022: 12th School on Analysis and Geometry in Metric
- 9 may 2022 - 13 may 2022: XXXI Convegno Nazionale di Calcolo delle Variazioni
- 10 feb 2020 - 12 feb 2020: Dispersive and subelliptic PDEs
- 24 jun 2019 - 28 jun 2019: 11th School on Analysis and Geometry in Metric Spaces
- 12 nov 2018 - 16 nov 2018: Optimal Transport and Applications
- 11 jun 2018 - 11 jun 2018: Non-smooth Geometry and Optimal Transport
- 18 may 2018 - 18 may 2018: Celebrating the 25th anniversary of "Calculus of Variations and Partial Differential Equations"
- 7 nov 2016 - 11 nov 2016: Optimal Transportation and Applications
- 19 sep 2016 - 23 sep 2016: A Mathematical Tribute to Ennio De Giorgi
- 6 jul 2015 - 10 jul 2015: Nineth School on Analysis and Geometry in Metric Spaces
- 27 oct 2014 - 31 oct 2014: ERC Workshop on Optimal Transportation and Applications
- 23 jun 2014 - 28 jun 2014: School on Geometric Evolution Problems
- 16 jun 2014 - 20 jun 2014: Eighth School on Analysis and Geometry in Metric Spaces
- 9 jun 2014 - 12 jul 2014: ERC Research Period on Calculus of Variations and Analysis in Metric Spaces
- 9 jun 2014 - 13 jun 2014: Analysis and Geometry on Singular Spaces
- 24 mar 2014 - 28 mar 2014: First Joint school ENS-Lyon SNS
- 26 jan 2014 - 31 jan 2014: XXIV Convegno Nazionale di Calcolo delle Variazioni
- 7 oct 2013 - 11 oct 2013: ERC-Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis
- 30 sep 2013 - 4 oct 2013: ERC-School on Geometric Measure Theory and Real Analysis
- 15 jul 2013 - 2 aug 2013: School and Workshop on "Geometric Measure Theory and Optimal Transport"
- 5 nov 2012 - 9 nov 2012: ERC Workshop on Optimal Transportation and Applications
- 7 may 2012 - 11 may 2012: ERC Summer School "Analysis and Geometry in Metric Measure Spaces''
- 5 mar 2012 - 8 mar 2012: Inaugural Conference of the Laboratory Fibonacci