- G. Bellettini - S. Kholmatov - F. Almuratov (Preprint)
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions (2024)
- 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 - J. Bertrand (Submitted Paper)
DC Calculus (2015)
- L. Ambrosio - H. Brezis - J. Bourgain - A. Figalli (Comm. Pure Appl. Math.)
$BMO$-type norms related to the perimeter of sets (2016)
- 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 - 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 - A. Figalli (Arch. Ration. Mech. Anal.)
Existence and uniqueness of maximal regular flows for non-smooth vector fields (2015)
- L. Ambrosio - M. Colombo - A. Figalli (Duke Math. J.)
On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017)
- 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 - G. Da Prato - B. Goldys - D. Pallara (Comm. P. D. E. )
Bounded variation with respect to a log-concave measure (2012)
- L. Ambrosio - C. De Lellis - T. Schmidt (J. Reine Angew. Math.)
Partial regularity for mass-minimizing currents in Hilbert spaces (2018)
- L. Ambrosio - G. De Philippis - B. Kirchheim (Rend. Lincei - Mat. e Appl.)
Regularity of optimal transport maps and partial differential inclusions (2011)
- L. Ambrosio - G. De Philippis - L. Martinazzi (Manuscripta Math.)
Gamma-convergence of nonlocal perimeter functionals (2011)
- L. Ambrosio - S. Di Marino (J. Funct. Anal.)
Equivalent definitions of $BV$ space and of total variation on metric measure spaces (2014)
- L. Ambrosio - S. Di Marino - G. Savaré (Submitted Paper)
On the duality between p-Modulus and probability measures (2013)
- L. Ambrosio - M. Erbar - G. Savaré (Submitted Paper)
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces (2015)
- L. Ambrosio - J. Feng (Submitted Paper)
On a class of first order Hamilton-Jacobi equations in metric spaces (2013)
- L. Ambrosio - A. Figalli (Ann. Fac. Sci. Toulouse Math.)
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces (2011)
- 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 - 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 - F. Ghiraldin (Analysis and Geometry in Metric Spaces)
Compactness of special functions of bounded higher variation (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 - 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 - 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)
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces (2011)
- L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Metric measure spaces with Riemannian Ricci curvature bounded from below (2011)
- L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds (2012)
- L. Ambrosio - M. Miranda Jr - D. Pallara (Anal. Geom. Metr. Spaces)
Some fine properties of $BV$ functions on Wiener spaces (2015)
- 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 - 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 - 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 - T. Schmidt (Proc. Lond. Math. Soc. (3))
Compactness results for normal currents and the Plateau problem in dual Banach spaces (2013)
- L. Ambrosio - D. Trevisan (Analysis and PDE)
Well posedness of Lagrangian flows and continuity equations in metric
measure spaces (2014)
- L. Ambrosio - D. Trevisan (Preprint)
Lecture notes on the DiPerna-Lions theory in abstract measure spaces (2015)
- L. Beck - T. Schmidt (J. Funct. Anal.)
Convex duality and uniqueness for $\rm BV$-minimizers (2015)
- G. Bellettini - A. Chambolle - S. Kholmatov (Submitted Paper)
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities (2020)
- G. Bellettini - S. Kholmatov (Submitted Paper)
Minimizing movements for mean curvature flow of partitions (2017)
- G. Bellettini - S. Kholmatov (Preprint)
Some aspects of anisotropic curvature flow of planar partitions (2023)
- G. Bellettini - S. Kholmatov (Preprint)
Minimizing movements for the generalized power mean curvature flow (2024)
- A. Bonfiglioli - E. Lanconelli - V. Magnani - M. Scienza (Proc. Amer. Math. Soc. )
H-convex distributions in stratified groups (2013)
- V. Chousionis - V. Magnani - J. Tyson (Calc. Var. Partial Differential Equations)
Removable sets for Lipschitz harmonic functions on Carnot groups (2015)
- G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano (Accepted Paper: JMPA)
Poincaré-type inequality for Lipschitz continuous vector fields (2013)
- G. De Philippis - A. Figalli (Invent. Math.)
$W^{2,1}$ regularity for solutions of the Monge-Ampère equation (2013)
- G. De Philippis - A. Figalli (Arch. Ration. Mech. Anal.)
Higher integrability for minimizers of the Mumford-Shah functional (2014)
- S. Di Marino (Phd Thesis)
Recent advances on BV and Sobolev Spaces in metric measure spaces (2014)
- S. Di Marino (Submitted Paper)
Sobolev and BV spaces on metric measure spaces via derivations and
integration by parts (2014)
- S. Di Marino - G. Speight (Proceedings of the American Mathematical Society)
The p-Weak Gradient Depends on p (2014)
- S. Nardulli - A. Enrique Muñoz Flores (Journal of Dynamical and Control Systems)
Generalized compactness for finite perimeter sets and applications to the isoperimetric problem (2022)
- M. Erbar - M. Huesmann (Calculus of Variations)
Curvature bounds for configuration space (2014)
- S. Eriksson-Bique - J. Gill - P. Lahti - N. Shanmugalingam (Preprint)
Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces (2018)
- F. Ferrari - A. Pinamonti (Accepted Paper: Potential Analysis)
Characterization by asymptotic mean formulas of q-harmonic functions in Carnot groups (2014)
- G. Foghem - M. Kassmann (preprint)
A general framework for nonlocal Neumann problems (2022)
- N. Garofalo - A. Mondino (Accepted Paper: Nonlinear Analysis TMA)
Li-Yau and Harnack type inequalities in $RCD^*(K,N)$ metric measure spaces (2013)
- R. Ghezzi - F. Jean (Submitted Paper)
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds (2013)
- F. Ghiraldin (Submitted Paper: ESIAM: COCV)
Variational approximation of a functional of Mumford-Shah type in codimension higher than one (2013)
- N. Gigli - A. Mondino (Journal de Math. Pures et Appl.)
A PDE approach to nonlinear potential theory in metric measure spaces (2012)
- N. Gigli - A. Mondino - T. Rajala (Accepted Paper: J. Reine Angew. Math.)
Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below (2013)
- P. Lahti - R. Jones - N. Shanmugalingam (Accepted Paper: Indiana University Math. J.)
Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally $Q$-bounded geometry (2019)
- S. Kholmatov (Preprint)
Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in $\mathbb R^3$ (2024)
- S. Kholmatov (Preprint)
Minimizing movements for forced anisotropic curvature flow of droplets (2024)
- S. Kholmatov (Preprint)
On the minimality of the Winterbottom shape (2024)
- R. Korte - V. Magnani (Illinois J. Math.)
Measure of curves in graded groups (2012)
- N. Shanmugalingam - P. Lahti - L. Malý - G. Speight (Accepted Paper: Journal of Geometric Analysis)
Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient (2018)
- N. Shanmugalingam - Q. Liu - X. Zhou (Preprint)
Equivalence of solutions of eikonal equation in metric spaces (2020)
- V. Magnani (Colloq. Math.)
An area formula in metric spaces (2011)
- V. Magnani (Bruno Pini Mathematical Analysis Seminar)
Lipschitz estimates for convex functions with respect to vector fields (2012)
- V. Magnani (Proc. Roy. Soc. Edinburgh Sect. A)
On a measure-theoretic area formula (2015)
- V. Magnani ( Indiana Univ. Math. J.)
A new differentiation, shape of the unit ball and perimeter measure (2017)
- V. Magnani - J. Malý - S. Mongodi (J. Geom. Anal. )
A low rank property and nonexistence of higher dimensional horizontal Sobolev sets (2015)
- V. Magnani - T. Rajala ( Int. Math. Res. Not. IMRN)
Radon-Nikodym property and area formula for Banach homogeneous group targets (2014)
- V. Magnani - M. Scienza (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
Characterizations of differentiability for h-convex functions in stratified groups (2014)
- V. Magnani - J. T. Tyson - D. Vittone (J. Anal. Math.)
On transversal submanifolds and their measure (2015)
- V. Magnani - A. Zapadinskaya (Selecta Math. (N.S.))
A Gromov's dimension comparison estimate for rectifiable sets (2017)
- A. Mondino (Accepted Paper: Crelle's Journal)
A new notion of angle between three points in a metric space (2013)
- A. Mondino - S. Nardulli (Communications in Analysis and Geometry)
Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions (2012)
- A. Mondino - T. Rivière (Accepted Paper: Advances in Calc. Var.)
Immersed Spheres of Finite Total Curvature into Manifolds (2011)
- A. Mondino - T. Rivière (Advances in Math.)
Willmore Spheres in Compact Riemannian Manifolds (2012)
- A. Mondino - J. Schygulla (Accepted Paper: Annales IHP-Anal. Non Lin.)
Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds (2012)
- S. Mongodi (Manuscripta Mathematica )
Some applications of metric currents to complex analysis (2013)
- S. Nardulli - P. Pansu (Annali della Scuola Normale Superiore di Pisa Classe di Scienze)
A complete Riemannian manifold whose isoperimetric profile is discontinuous (2018)
- S. Nardulli - F. Russo (Journal of Functional Analysis)
On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume (2021)
- T. Ojala - T. Rajala - V. Suomala (Studia Math.)
Thin and fat sets for doubling measures in metric spaces (2012)
- T. Rajala (J. Funct. Anal.)
Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm (2012)
- T. Rajala (Calc. Var. Partial Differential Equations)
Local Poincaré inequalities from stable curvature conditions on metric spaces (2012)
- T. Rajala (Discrete Contin. Dyn. Syst.)
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces (2013)
- T. Rajala - K. T. Sturm (Accepted Paper: Calc. Var. Partial Differential Equations)
Non-branching geodesics and optimal maps in strong $CD(K,\infty)$-spaces (2012)
- R. Resende (Submitted Paper)
On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry (2020)
- R. Resende (Journal of Dynamical and Control Systems)
On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry (2022)
- T. Schmidt (Adv. Math.)
${\rm W}^{2,1+\varepsilon}$ estimates for the Monge-Ampère equation (2013)
- T. Schmidt (Indiana Univ. Math. J.)
Partial regularity for degenerate variational problems and image restoration models in $\rm BV$ (2014)
- T. Schmidt (Proc. Am. Math. Soc.)
Strict interior approximation of sets of finite perimeter and functions of bounded variation (2015)
- N. Shanmugalingam (Proceedings)
$p$-hyperbolicity of ends and families of paths in metric spaces (2019)
- G. Speight (Revista Matematica Iberoamericana)
Lusin Approximation and Horizontal Curves in Carnot Groups (2015)
- D. Vittone (Geometric measure theory and real analysis, CRM Series, Ed. Norm., Pisa. )
The regularity problem for sub-Riemannian geodesics (2014)
