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Welcome to the Home Page of the Research Group in Calculus of Variations and Geometric Measure Theory at Pisa. Look here to know more about us. Please, feel free to download and use all the material you find interesting. If you want to receive regularly the group news, subscribe to our mailing list in the mail section.

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Projects

Geometric Measure Theory in non Euclidean spaces (Luigi Ambrosio) > papers
Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)
Geometry of Metric Groups (Enrico Le Donne) > papers

Open Positions

Postdoctoral position on ERC Advanced Grant “DyCon – DynamicControl”, coordinated by Prof. Enrique Zuazua (deadline: 15 Nov 2018)
Two postdoctoral positions at Charles University, Prague (deadline: 16 Nov 2018)
Geometric analysis and partial differential equations in singular and non-Euclidean settings (deadline: 16 Nov 2018)
Postdoctoral position on ERC project in PDEs and Calculus of Variations (deadline: 18 Nov 2018)
Postdoc position (U. Zurich) with X. Ros-Oton (deadline: 1 Dec 2018)
Assistant Professor in Analysis of Partial Differential Equations at Durham University (deadline: 14 Dec 2018)
Willmore Fellow in Analysis of Partial Differential Equations at Durham University (deadline: 14 Dec 2018)
PhD Positions at UT Austin, starting Fall 2019 (deadline: 15 Dec 2018)
ERC Post Doc Position at Warwick with A. Mondino (deadline: 16 Dec 2018)
Two Post-doc and one Ph.D. in Mean Curvature Flow, London (deadline: 16 Dec 2018)
SISSA Mathematical Fellowships (deadline: 8 Jan 2019)
PhD position in Calculus of Variations with J. Matias (deadline: 6 Feb 2019)

Forthcoming Events

12 - 16 Nov 2018: Optimal Transport and Applications Centro De Giorgi, Pisa
26 - 30 Nov 2018: Analysis, Control and Inverse Problems for PDEs Università di Napoli Federico II & Accademia Pontaniana, Napoli
16 - 19 Dec 2018: Junior Math Days - second edition SISSA, Trieste
14 - 17 Jan 2019: Alessio Figalli, Fields medallist 2018 Aula Dini, Scuola Normale Superiore
17 - 19 Jan 2019: Workshop "Variational problems, PDEs and applications" Dipartimento di Matematica, Università di Pisa
22 - 25 Jan 2019: Geometry and PDE in front of the Alhambra University of Granada
31 Jan - 1 Feb 2019: Nonlinear Meeting in Turin Department of Mathematics, University of Turin
18 - 22 Feb 2019: Sub-Riemannian Geometry and Beyond. II Jyväskylä
13 - 14 Mar 2019: Variational approaches to PDEs Dipartimento di Matematica - Università di Roma "Tor Vergata"
22 - 24 Mar 2019: New Trends in Geometric Measure Theory University of Hawaii Manoa
9 - 13 Sep 2019: Geometric Analysis, Submanifolds, and Geometry of PDE's Politecnico di Torino, Turin, Italy

Recently Added Papers

V. Buffa (Ph.D. Thesis)
BV Functions in Metric Measure Spaces: Traces and Integration by Parts Formulæ (2017)
V. Caselles - A. Chambolle - S. Moll - M. Novaga (Ann. Inst. H. Poincaré - Anal. Non Linéaire)
A characterization of convex calibrable sets in $\mathbb R^N$ with respect to anisotropic norms (2008)
C. Muratov - M. Novaga (Calc. Var. PDE)
Front propagation in infinite cylinders II. The sharp reaction zone limit (2008)
D. Spector - J. Van Schaftingen (Preprint)
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma (2018)
V. Chousionis - V. Magnani - J. T. Tyson (Submitted Paper)
On uniform measures in the Heisenberg group (2018)
C. De Lellis (Surveys in Differential Geometry 2017.)
The Onsager Theorem (2018)
A. Marchese - C. Zanco (Israel J. math.)
On a question by Corson about point-finite coverings (2012)
H. Knüpfer - C. Muratov - M. Novaga (Submitted Paper)
Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy (2018)
D. Gerosa - R. Monti - D. Morbidelli (Submitted Paper)
A trace theorem for Martinet-type vector fields (2018)
R. Monti - D. Morbidelli (Submitted Paper)
John and uniform domains in generalized Siegel boundaries (2018)
E. Battaglia - R. Monti - A. Righini (Submitted Paper)
Stable hypersurfaces in the complex projective space (2018)
A. Arroyo-Rabasa - G. De Philippis - J. Hirsch - F. Rindler (Submitted Paper)
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (2018)
D. Mazzoleni - B. Pellacci - G. Verzini (Preprint)
Asymptotic spherical shapes in some spectral optimization problems (2018)
F. Dragoni - D. Filali (Preprint)
Starshaped and convex sets in Carnot groups and in the geometries of vector fields. (2018)
E. Paolini - V. M. Tortorelli (Preprint)
The quadruple planar bubble enclosing equal areas is symmetric (2018)
A. Cesaroni - V. Pagliari (Preprint)
Convergence of nonlocal geometric flows to anisotropic mean curvature motion (2018)
A. Mondino - S. Suhr (Preprint)
An optimal transport formulation of the Einstein equations of general relativity (2018)
D. Castorina - G. Riey - B. Sciunzi (preprint)
Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations (2018)

Recently Modified Papers

L. De Luca - M. Novaga - M. Ponsiglione (Accepted Paper: J. Nonlinear Sci.)
$\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter (2018)
C. Muratov - M. Novaga (Comm. Math. Sci.)
Front propagation in infinite cylinders I: a variational approach (2008)
V. Caselles - A. Chambolle - M. Novaga (in Handbook of Mathematical Methods in Imaging, Springer)
Total variation in imaging (2011)
M. Novaga - E. Valdinoci (Calc. Var. PDE)
Bump solutions for the mesoscopic Allen-Cahn equation in periodic media (2011)
V. Caselles - A. Chambolle - M. Novaga (Rend. Sem. Mat. Padova)
Some remarks on uniqueness and regularity of Cheeger sets (2010)
G. Bellettini - M. Novaga - M. Paolini (Math. Mod. Meth. Appl. Sc.)
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension (2011)
A. Berarducci - P. Majer - M. Novaga (Fund. Math.)
Infinite paths and cliques in random graphs (2012)
M. Novaga - E. Valdinoci (ESAIM Control Optim. Calc. Var.)
Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations (2009)
G. Bellettini - V. Caselles - A. Chambolle - M. Novaga (J. Math. Pures Appl.)
The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$ (2009)
G. Bellettini - L. Bertini - M. Mariani - M. Novaga (Arch. Rat. Mech. Anal.)
$\Gamma$-entropy cost for scalar conservation laws (2010)
V. Caselles - A. Chambolle - M. Novaga (Multiscale Modeling and Simulation)
The discontinuity set of solutions of the TV denoising problem and some extensions (2007)
G. Bellettini - M. Novaga - M. Paolini - C. Tornese (Calcolo)
Classification of the equilibria for the semi-discrete Perona-Malik equation (2009)
N. Dirr - M. Lucia - M. Novaga (Asymptotic Analysis)
Gradient theory of phase transitions with a rapidly oscillating forcing term (2008)
G. Bellettini - M. Novaga - M. Paolini - C. Tornese (J. Differential Eqs.)
Convergence of discrete schemes for the Perona-Malik equation (2008)
V. Caselles - A. Chambolle - M. Novaga (Pacific Journal of Mathematics)
Uniqueness of the Cheeger set of a convex body (2007)
M. Novaga - E. Valdinoci (Discrete Contin. Dyn. Syst.)
The geometry of mesoscopic phase transition interfaces (2007)
M. Novaga - M. Paolini (Math. Mod. Meth. Appl. Sc.)
Nonuniqueness for crystalline curvature flow (2007)
B. Kawohl - M. Novaga (J. Convex Analysis)
The $p$-Laplace eigenvalue problem as $p \to 1$ and Cheeger sets in a Finsler metric (2008)
A. Chambolle - M. Novaga (SIAM J. Math. Anal.)
Convergence of an algorithm for anisotropic mean curvature motion (2006)
N. Dirr - M. Lucia - M. Novaga (Interfaces and Free Boundaries)
$\Gamma$-convergence of the Allen--Cahn energy with an oscillating forcing term (2006)
A. Chambolle - M. Novaga (Interfaces and Free Boundaries)
Implicit time discretization of the mean curvature flow with a discontinuous forcing term (2008)
P. Gordon - C. Muratov - M. Novaga (Calc. Var. PDE)
Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders (2013)
G. Bellettini - M. Novaga (J. Reine Angew. Math.)
Curvature Evolution of Nonconvex Lens-Shaped Domains (2011)
G. Bellettini - M. Novaga - G. Orlandi (Physica D)
Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations (2010)
N. Dirr - S. Luckhaus - M. Novaga (Calc. Var. and Partial Differential Eqs.)
A stochastic selection principle in case of fattening for curvature flow (2001)
M. Goldman - M. Novaga (Annales de l'IHP - Analyse Non Lineaire)
Approximation and relaxation of perimeter in the Wiener space (2012)
M. Goldman - M. Novaga (Calc. Var. and PDE)
Volume-constrained minimizers for the prescribed curvature problem in periodic media (2012)
G. Bellettini - M. Masala - M. Novaga (J. Convex Anal.)
A conjecture of De Giorgi on the squared distance function (2007)
G. Bellettini - V. Caselles - A. Chambolle - M. Novaga (Arch. Rational Mech. Anal.)
Crystalline mean curvature flow of convex sets (2006)
M. Novaga - S. Okabe (J. Reine Angew. Math.)
Convergence to equilibrium of gradient flows defined on planar curves (2017)
H. Knüpfer - C. Muratov - M. Novaga (Comm. Math. Phys.)
Low density phases in a uniformly charged liquid (2016)
G. Bellettini - M. Novaga (Ann. Sc. Norm. Sup. Pisa Cl. Sci.)
Comparison Results between Minimal Barriers and Viscosity Solutions for Geometric Evolutions (1998)
G. Bellettini - M. Novaga (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei, serie IX)
Barriers for a Class of Geometric Evolutions Problems (1997)
A. Malchiodi - M. Novaga - D. Pagliardini (Submitted Paper)
On critical points of the relative fractional perimeter (2018)
A. Cesaroni - M. Novaga - E. Valdinoci ( Interfaces Free Bound. )
Curvature flow in heterogeneous media (2011)
G. Bellettini - M. Novaga - G. Orlandi (Discrete Cont. Dynam. System A)
Eventual regularity for the parabolic minimal surface equation (2015)
P. Athavale - R. L. Jerrard - M. Novaga - G. Orlandi (Journal of Convex Analysis)
Weighted TV minimization and applications to vortex density models (2017)
B. Martelli - M. Novaga - A. Pluda - S. Riolo (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Spines of minimal length (2017)
A. Cesaroni - M. Novaga (Discrete Contin. Dyn. Syst. S)
Volume constrained minimizers of the fractional perimeter with a potential energy (2017)
A. Dall'Acqua - M. Novaga - A. Pluda (Accepted Paper: Indiana Univ. Math. J.)
Minimal elastic networks (2017)
A. Cesaroni - M. Novaga (Discrete Contin. Dyn. Syst. S)
The isoperimetric problem for nonlocal perimeters (2018)
L. Ambrosio - S. Honda - D. Tewodrose (Accepted Paper: Annals of Global Analysis and Geometry)
Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces (2018)
D. Tewodrose (Submitted Paper)
Weighted Sobolev inequalities in CD(0,N) spaces (2018)
M. Fogagnolo - L. Mazzieri - A. Pinamonti (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
Geometric aspects of p-capacitary potentials (2018)
G. E. Comi - V. Magnani (Submitted Paper)
The Gauss-Green theorem in stratified groups (2018)
V. Magnani (Ann. Acad. Sci. Fenn. Math.)
Some remarks on densities in the Heisenberg group (2017)
V. Magnani - E. Stepanov - D. Trevisan (J. Lond. Math. Soc.)
A rough calculus approach to level sets in the Heisenberg group (2018)
M. Colombo - A. De Rosa - A. Marchese (J. Math. Pures Appl.)
Stability for the mailing problem (2018)
D. Inauen - A. Marchese (J. Funct. Anal.)
Quantitative minimality of strictly stable minimal submanifolds in a small flat neighbourhood (2017)
A. Marchese (Accepted Paper: Proc. Roy. Soc. Edinburgh Sect. A)
Residually many BV homeomorphisms map a null set in a set of full measure (2017)
A. Agrachev - D. Barilari - U. Boscain (Lecture Notes)
A Comprehensive Introduction to Sub-Riemannian geometry (2018)
F. Cavalletti - M. Sedjro - M. Westdickenberg (Accepted Paper: Trans. AMS)
A Variational Time Discretization for Compressible Euler Equations (2014)
C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (Preprint)
On the boundary behavior of mass-minimizing integral currents (2018)
A. Pratelli - G. Saracco (Nonlinear Analysis)
On the isoperimetric problem with double density (2018)
G. Catino - P. Mastrolia (Accepted Paper: J. Geom. Anal.)
Weyl scalars on compact Ricci solitons (2018)
L. Brasco (Submitted Paper)
On principal frequencies and inradius in convex sets (2018)
D. Castorina - M. Sanchon (Journal of the European Mathematical Society)
Regularity of stable solutions of $p$-Laplace equations through geometric Sobolev type inequalities (2015)
D. Castorina - M. Sanchon (Advances in Nonlinear Analysis)
Regularity of stable solutions to semilinear elliptic equations on Riemannian models (2015)
D. Castorina (Manuscripta Mathematica)
Regularity of the extremal solution for singular p-Laplace equations (2015)
D. Bartolucci - D. Castorina (Accepted Paper: Communications in Contemporary Mathematics)
Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equations (2015)
D. Castorina - A. Cesaroni - L. Rossi (Comm. Pure App. Anal.)
On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary (2016)
D. Bartolucci - D. Castorina (Accepted Paper: Annali della Scuola Normale Superiore di Pisa-Classe di Scienze)
On a singular Liouville-type equation and the Alexandrov isoperimetric inequality (2017)
D. Castorina - C. Mantegazza (Submitted Paper)
Ancient solutions of superlinear heat equations on Riemannian manifolds (2017)
V. Magnani - A. Pinamonti - G. Speight (Submitted Paper)
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups (2018)

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