Papers

M. Amar - D. Andreucci - P. Bisegna - R. Gianni (Accepted Paper: Discrete and Continuous Dynamical Systems)
Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range (2010)

M. Chermisi - G. Dal Maso - I. Fonseca - G. Leoni (Preprint)
Singular perturbation models in phase transitions for second order materials (2010)

A. Cesaroni - M. Novaga - E. Valdinoci (Submitted Paper)
Curvature flow in heterogeneous media (2010)

A. Figalli - Y. H. Kim (Accepted Paper: Discrete Contin. Dyn. Syst. Series A)
Partial regularity of Brenier solutions of the Monge-Ampère equation (2010)

A. Lew - M. Negri (Submitted Paper)
Optimal convergence of a discontinuous-Galerkin-based immersed boundary method

M. Cicalese - Y. Nagase - G. Pisante (Accepted Paper: Advances in Calculus of Variations)
The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions (2010)

L. Martinazzi - M. Struwe (Submitted Paper)
Quantization for an elliptic equation of order 2m with critical exponential non-linearity (2010)

F. Santambrogio (Accepted Paper: Proceedings of the summer school Öptimal transport: Theory and applications")
Models and applications of Optimal Transport in Economics, Traffic and Urban Planning

F. Santambrogio (Accepted Paper: Proceedings of the summer school Öptimal transport: Theory and applications")
Introduction to Optimal Transport Theory

M. Eleuteri - L. Lussardi - U. Stefanelli (Submitted Paper)
A rate-independent model for permanent inelastic effects in shape memory materials (2010)

D. Mucci (Submitted Paper)
Maps into projective spaces: liquid crystal and conformal energies (2010)

D. Mucci (Submitted Paper)
Sobolev maps into the projective line with bounded total variation (2010)

A. Figalli - W. Gangbo - T. Yolcu (Accepted Paper: Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
A variational method for a class of parabolic PDEs (2010)

G. De Philippis (Preprint)
Weak notions of Jacobian determinant and relaxation

L. Granieri - F. Maddalena (Accepted Paper: Journal of Optimization Theory and Applications)
ON SOME VARIATIONAL PROBLEMS INVOLVING VOLUME AND SURFACE ENERGIES (2010)

S. Conti - A. Garroni - S. Müller (Submitted Paper)
Singular kernels, multiscale decomposition of microstructure, and dislocation models (2010)

M. Barchiesi - M. Focardi (Preprint)
Homogenization of the Neumann problem in perforated domains: an alternative approach

G. Buttazzo - P. Kogut (Preprint)
Weak Optimal Controls in Coefficients for Linear Elliptic Problems (2010)

L. Beck (Preprint)
Boundary regularity for elliptic systems under a natural growth condition (2010)

N. Gigli - F. Otto (Submitted Paper)
Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric (2010)

N. Gigli - S. I. Ohta (Submitted Paper)
First variation formula in Wasserstein spaces over compact Alexandrov spaces (2010)

A. Pisante - M. Ponsiglione (Preprint)
Phase transitions and minimal hypersurfaces in hyperbolic space (2010)

S. Delladio (Preprint)
A Whitney-type result about rectifiability of graphs (2010)

D. Spector (Preprint)
Simple proofs of some results of Reshetnyak (2010)

M. Morini - V. Slastikov (Submitted Paper)
Geometrically constrained walls in two dimensions. (2010)

L. Martinazzi - M. Petrache (Submitted Paper)
Existence of solutions to a higher dimensional mean-field equation on manifolds (2010)

C. Mantegazza (Lecture Notes)
Notes on the Distance Function from a Submanifold (2010)

L. Ambrosio - M. Miranda - D. Pallara (Accepted Paper)
Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability (2010)

L. De Pascale - S. Rigot (Submitted Paper)
Monge's transport problem in the Heisenberg group (2010)

V. Magnani (Accepted Paper)
Area implies coarea (2010)

N. Fusco - A. Pratelli (Preprint)
On a conjecture by Auerbach (COMPLETE VERSION) (2010)

R. Korte - N. Marola - N. Shanmugalingam (Submitted Paper)
Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property (2010)

V. De Cicco - C. Leone - A. Verde (Preprint)
Lower semicontinuity in SBV for integrals with variable growth (2010)

A. Figalli - L. Rifford - C. Villani (Accepted Paper: Calc. Var. Partial Differential Equations)
On the Ma-Trudinger-Wang curvature on surfaces (2010)

G. Sundaramoorthi - A. C. G. Mennucci - S. Soatto - A. Yezzi (Preprint)
A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering (2010)

G. Cupini - M. Guidorzi - C. Marcelli (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Existence of minimizers of free autonomous variational problems via solvability of constrained ones. (2009)

G. Cupini - C. Marcelli (Accepted Paper: ESAIM Control Optim. Calc. Var.)
Monotonicity properties of minimizers and relaxation for autonomous variational problems (2010)

G. Buttazzo - G. Carlier - R. Tahraoui (Preprint)
On some systems controlled by the structure of their memory (2010)

L. Ambrosio - A. Figalli (Accepted Paper: C. R. Math. Acad. Sci. Paris)
Almost everywhere well-posedness of continuity equations with measure initial data (2010)

A. Braides - C. J. Larsen (Accepted Paper: Ann. Scuola Norm. Sup. Pisa)
G-convergence for stable states and local minimizers (2010)

G. Dal Maso - I. Fonseca - G. Leoni (Accepted Paper: Adv. Cal. Var.)
Nonlocal character of the reduced theory of thin films with higher order perturbations (2010)

N. Gigli (Accepted Paper: Calc. Var. Part. Diff. Eq.)
On the Heat flow on metric measure spaces: existence, uniqueness and stability (2010)

B. Dacorogna - P. Marcellini - E. Paolini (Differential and Integral Equations)
Functions with orthogonal Hessian (2010)

F. Bethuel - G. Orlandi - D. Smets (Submitted Paper)
Slow motion for gradient systems with equal depth multiple-well potentials (2010)

G. Bellettini - J. Hoppe - M. Novaga - G. Orlandi (Accepted Paper)
Closure and convexity properties of closed relativistic strings (2010)

L. Ambrosio - A. Figalli (Lecture notes)
Lecture notes on variational models for incompressible Euler equations (2009)

S. Baldo - G. Orlandi - S. Weitkamp (Indiana Univ. Math. J.)
Convergence of minimizers with local energy bounds for the Ginzburg-Landau functionals. (2009)

F. Bethuel - G. Orlandi - D. Smets (CRM Proc. Lecture Notes)
On the Cauchy problem for phase and vortices in the parabolic Ginzburg-Landau equation (2008)

H. Abels - M. G. Mora - S. Müller (Submitted Paper)
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity (2009)

M. Bardi - P. Mannucci (Submitted Paper)
Comparison Principles and Dirichlet problem for equations of Monge-Ampère type associated to vector fields (2009)

I. Fonseca - G. Leoni - F. Maggi - M. Morini
Exact reconstruction of damaged color images using a total variation model

L. Ambrosio - G. Da Prato - D. Pallara (Submitted Paper)
BV functions in a Hilbert space with respect to a Gaussian measure

G. Bouchitte - C. Jimenez - R. Mahadevan (Submitted Paper)
Asymptotic analysis of a class of optimal location problems (2009)

G. Buttazzo - D. Bucur (Submitted Paper)
On the characterization of the compact embedding of Sobolev spaces (2009)

R. Alicandro - M. Cicalese - A. Gloria (Submitted Paper)
Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity (2009)

F. Santambrogio (Habilitation thesis)
Problèmes classiques et moins classiques en transport optimal: régularité, approximation, EDP et applications (2009)

G. Dal Maso - G. Lazzaroni (Proceeding)
Crack growth with non-interpenetration: a simplified proof for the pure Neumann problem (2009)

F. Bigolin - F. Serra Cassano (Accepted Paper: JMAA)
Distributional solutions of Burgers' equation and intrinsic regular graphs in Heisenberg groups (2009)

P. Álvarez-Caudevilla - A. Lemenant (Preprint)
Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence (2009)

L. Brasco - F. Santambrogio (Preprint)
An equivalent path functional formulation of branched transportation problems (2009)

M. Gobbino - L. Granieri (Accepted Paper: Archimede)
Sul Problema della Gittata Ottimale 2 (2009)

L. Granieri (Accepted Paper: Rendiconti del Seminario Matematico della Università di Padova)
Metric Currents and Geometry of Wassserstein Spaces (2009)

A. Braides - L. Sigalotti (Preprint)
Models of defects in atomistic systems (2009)

D. Mucci (Accepted Paper: Riv. Mat. Univ. Parma)
A variational problem involving the distributional determinant (2009)

D. Mucci (Submitted Paper)
On sequences of maps with finite energies in trace spaces between manifolds (2009)

A. Briani - H. Zidani (Submitted Paper)
Characterisation of the value function of final state constrained control problems with BV trajectories (2009)

G. Lazzaroni - R. Toader (Preprint)
Energy release rate and stress intensity factor in antiplane elasticity (2009)

G. Buttazzo - B. Kawohl (Preprint)
Overdetermined boundary value problems for the ¥-Laplacian (2009)

G. Buttazzo - F. Maestre (Preprint)
Optimal Shape for Elliptic Problems with Random Perturbations (2009)

L. Beck (J. Convex Anal.)
Boundary regularity for elliptic problems with continuous coefficients (2009)

L. Beck (J. Math. Anal. Appl.)
Hölder continuity for solutions of subquadratic elliptic systems in low dimensions (2009)

L. Beck (Ph.D. Thesis)
Boundary regularity results for weak solutions of subquadratic elliptic systems (2008)

L. Beck (Submitted Paper)
Boundary regularity results for variational integrals (2009)

L. Beck (Submitted Paper)
Regularity versus singularity for weak solutions to elliptic systems in two dimensions (2009)

R. Rossi - A. Segatti - U. Stefanelli (Preprint)
Global attractors for gradient flows in metric spaces (2009)

A. Figalli - N. Gigli (Accepted Paper: J. Math. Pures Appl.)
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions (2009)

A. Figalli
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

M. Cicalese - E. N. Spadaro - C. I. Zeppieri (Submitted Paper)
Asymptotic analysis of a second-order singular perturbation model for phase transitions (2009)

F. Paronetto (Accepted Paper: to appear in J. Math. Pures Appl.)
G-convergence of mixed type evolution operators

G. Catino - L. Mazzieri (Submitted Paper)
Connected sum construction for sigma_k-Yamabe metrics

G. Bellettini - L. Mugnai (Submitted Paper)
Approximation of the Helfrich's functional via Diffuse Interfaces

C. De Lellis - M. Focardi - E. Spadaro (Preprint)
Lower semicontinuous functionals for Almgren's multiple valued functions

L. Ambrosio (Submitted Paper)
The flow associated to weakly differentiable vector fields: recent results and open problems (2009)

N. Ansini - V. Valente (Accepted Paper: Analysis and Applications)
On a nonlocal functional arising in the study of thin-film blistering (2009)

A. Braides - M. Solci (Submitted Paper)
Interfacial energies on Penrose lattices (2009)

G. Catino - C. Mantegazza (Submitted Paper)
Evolution of the Weyl Tensor under the Ricci Flow (2009)

A. Brancolini - S. Solimini (Preprint)
On the Holder Regularity of the Landscape Function (2009)

V. Caselles - M. Miranda Jr - M. Novaga (Submitted Paper)
Total Variation and Cheeger Sets in Gauss Space (2009)

M. Eleuteri - J. Habermann (J. Math. Anal. Appl.)
Regularity results for a class of obstacle problems under non standard growth conditions (2008)

M. Eleuteri - J. Habermann (Accepted Paper: Math. Nachr.)
A Hölder continuity result for a class of obstacle problems under non standard growth conditions (2009)

M. Eleuteri - J. Habermann (Submitted Paper)
Calderón-Zygmund type estimates for a class of obstacle problems with p(x) growth (2009)

M. Eleuteri - P. Hariulehto - T. Lukkari (Submitted Paper)
Global regularity and stability of solutions to elliptic equations with nonstandard growth (2009)

N. Gigli (Submitted Paper)
On the inverse implication of Brenier-McCann theorems and the structure of (P₂(M),W₂)

R. Mahadevan - T. Muthukumar (Submitted Paper)
Homogenization of some low-cost control problems (2009)

A. Mielke - R. Rossi - G. Savare' (Submitted Paper)
BV solutions and viscosity approximations of rate-independent systems (2009)

A. Giacomini - A. Musesti (Submitted Paper)
Two-scale homogenization for a model in strain gradient plasticity

M. Bardi - A. Cesaroni (Submitted Paper)
Optimal control with random parameters: a multiscale approach (2009)

L. Lussardi (Accepted Paper: Rend. Lincei Mat. Appl.)
A Stampacchia-type inequality for a fourth order elliptic operator on Kähler manifolds and applications (2009)

D. Percivale - F. Tomarelli (Preprint)
Regular minimizers of some
free discontinuity problems (2009)

T. Boccellari - F. Tomarelli (Rendiconti Istituto Lombardo Accademia di Scienze e Lettere- Classe Scienze Matematiche e Naturali)
About well-posedness of optimal segmentation for Blake Zisserman functional (2008)

M. Barchiesi - S. H. Kang - T. M. Le - M. Morini - M. Ponsiglione (Submitted Paper)
A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries

M. Carriero - A. Leaci - F. Tomarelli (Submitted Paper)
VARIATIONAL APPROACH TO IMAGE SEGMENTATION (2009)

A. Figalli - N. Gigli (Accepted Paper: ESAIM Control Optim. Calc. Var.)
Local semiconvexity of Kantorovich potentials on non-compact manifolds (2009)

N. Fusco - M. Morini (Submitted Paper)
Equilibrium configurations of epitaxially strained elastic films: second order minimality conditions and qualitative properties of solutions (2009)

P. F. Antonietti - A. Pratelli (Preprint)
Finite Element Approximation of the Sobolev Constant (2009)

S. Conti - C. De Lellis - L. Szekelyhidi (Submitted Paper)
h-Principle and Rigidity for C^1,a Isometric Embeddings

E. Durand-Cartagena - A. Lemenant (Preprint)
Some Stability results under domain variation for Neumann problems in metric spaces (2009)

M. Focardi (Submitted Paper)
Aperiodic fractional obstacle problems

B. De Maria - A. Passarelli di Napoli (Accepted Paper: Calc. Var. PDE's)
Partial regularity for non autonomous functionals with non standard growth condition (2009)

A. Figalli (Accepted Paper: Bull. Amer. Math. Soc.)
Optimal transport. Old and new. [book review] (2009)

G. Lazzaroni (Ph.D. Thesis)
Some results in the variational theory of crack growth (2009)

G. Lazzaroni (Preprint)
Quasistatic crack growth in finite elasticity with Lipschitz data (2009)

B. Maury - A. Roudneff-Chupin - F. Santambrogio (Submitted Paper)
A macroscopic crowd motion model of gradient flow type (2009)

S. Bianchini - L. Caravenna (Submitted Paper)
On the extremality, uniqueness and optimality of transference plans (2009)

S. Lisini - A. Marigonda (Submitted Paper)
On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals (2009)

H. Abels - M. G. Mora - S. Müller (Submitted Paper)
Large Time Existence for Thin Vibrating Plates (2009)

J. A. Carrillo - S. Lisini (Submitted Paper)
On the asymptotic behavior of the gradient flow of a polyconvex functional (2009)

G. Buttazzo - F. Santambrogio (Siam Review)
A Mass Transportation Model for the Optimal Planning of an Urban Region (2009)

F. Balabdaoui - K. Rufibach - F. Santambrogio (Accepted Paper: Journal of Nonparametric Statistics)
Least Squares estimation of two ordered monotone regression curves (2009)

M. Ghisi - M. Gobbino (Preprint)
On the evolution of subcritical regions for the Perona-Malik (2009)

G. Carlier - L. De Pascale - F. Santambrogio (Accepted Paper: Communications in Mathematical Sciences)
A strategy for non-strictly convex transport costs and the example of ||x-y||^p in \mathbb R² (2009)

G. Leoni (Book: Graduate Studies in Mathematics, American Mathematical Society)
A First Course in Sobolev Spaces (2009)

A. Figalli (Accepted Paper: Comm. Partial Differential Equations)
Regularity properties of optimal maps between nonconvex domains in the plane (2009)

G. Bellettini - M. Paolini (Submitted Paper)
On the area of the graph of a singular map from the plane to the plane taking three values

L. Beck (Manuscr. Math.)
Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case (2007)

M. Eleuteri (Appl. Math.)
Regularity results for a class of obstacle problems (2007)

M. Eleuteri (Boll. Unione Mat. Ital.)
Hölder continuity results for a class of functionals with non standard growth (2004)