- M. Piccinini (
*Math. in Eng.*)

A limiting case in partial regularity for quasiconvex functionals (2024) - F. De Filippis - M. Piccinini (
*J. Differential Equations*)

Regularity for multi-phase problems at nearly linear growth (2024) - F. De Filippis - F. Leonetti (
*Advances in Calculus of Variations*)

No Lavrentiev gap for some double phase integrals (2024) - C. Leone - G. Scilla - F. Solombrino - A. Verde (Preprint)

Strong existence for free-discontinuity problems with non-standard growth (2024) - M. Gallo (Ph.D. Thesis)

Nonlocal elliptic PDEs with general nonlinearities (2024) - F. De Filippis - F. Leonetti - G. Treu (
*Advances in Nonlinear Analysis*)

Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth (2024) - P. Ambrosio - F. Bäuerlein (
*Journal of Differential Equations*)

Gradient bounds for strongly singular or degenerate parabolic systems (2024) - G. Buttazzo - J. Casado-Diaz - F. Maestre (Preprint)

Optimal coefficients for elliptic PDEs (2024) - S. Kholmatov - P. Piovano (
*Advances in Calculus of Variations*)

Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain (2023) - S. Dweik (Accepted Paper:
*Journal of Mathematical Analysis and Applications*)

Optimal region for the transport problem to the boundary (2023) - C. Leone - G. Scilla - F. Solombrino - A. Verde (
*ESAIM: Control, Optimisation and Calculus of Variations*)

Regularity of minimizers for free-discontinuity problems with $p(\cdot)$-growth (2023) - M. Carozza - L. Esposito - L. Lamberti (Preprint)

Quasiconvex Bulk and Surface Energies: $C^{1,\,\alpha}$ Regularity (2023) - P. Piovano - F. Sapio (Submitted Paper)

Evolution of crystalline thin films by evaporation and condensation in three dimensions (2023) - L. Brasco - F. Prinari - F. Sk (Accepted Paper:
*J. Funct. Anal.*)

On Morrey's inequality in Sobolev-Slobodeckij spaces (2023) - S. Stuvard (Proceedings:
*MATRIX Book Series*)

New advances on the existence and regularity of Brakke's mean curvature flows (2023) - E. Davoli - U. Stefanelli (Submitted Paper)

Level sets of Eikonal functions are John regular (2023) - M. Goldman - B. Merlet - M. Pegon (Accepted Paper:
*Arch. Rat. Mech. Anal.*)

Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter (2022) - S. Cingolani - M. Gallo - K. Tanaka (
*Mathematics in Engineering*)

On fractional Schrödinger equations with Hartree type nonlinearities (2021) - C. De Lellis - E. Spadaro - L. Spolaor (
*J. Differential Geom.*)

Regularity theory for $2$-dimensional almost minimal currents III: blowup (2020) - G. Cupini - M. Focardi - F. Leonetti - E. Mascolo (
*Adv. Nonlinear Anal.*)

On the H\"older continuity for a class of vectorial problems (2020) - A. Pratelli - G. Saracco (
*Adv. Nonlinear Stud.*)

The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets (2020) - E. Davoli - L. Scarpa - L. Trussardi (Accepted Paper:
*Archive for Rational Mechanics and Analysis*)

Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms (2020) - L. Lamberti (Preprint)

A regularity result for minimal configurations of a free interface problem (2020) - M. Colombo - A. De Rosa - A. Marchese (
*J. Math. Pures Appl.*)

Stability for the mailing problem (2019) - C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (
*Comm. Math. Helv.*)

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2018) - C. De Lellis - E. Spadaro - L. Spolaor (
*Transactions AMS*)

Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation (2018) - M. Carriero - A. Leaci - F. Tomarelli (
*Journal of Convex Analysis*)

Segmentation and Inpainting of Color Images (2018) - J. F. Babadjian - M. G. Mora (Submitted Paper)

Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion (2017) - C. De Lellis - E. Spadaro - L. Spolaor (
*Comm. Pure Appl. Math.*)

Uniqueness of tangent cones for $2$-dimensional almost minimizing currents (2017) - C. De Lellis - E. Spadaro (
*Ann. of Math. (2)*)

Regularity of area-minimizing currents II: center manifold (2016) - C. De Lellis - E. Spadaro (
*Ann. of Math. (2)*)

Regularity of area-minimizing currents III: blow up (2016) - G. Cupini - F. Leonetti - E. Mascolo (Accepted Paper:
*Ann. Acad. Sci. Fenn. Math.*)

Existence of weak solutions for elliptic systems with $p,q$-growth (2015) - M. Colombo - A. Figalli (
*J. Math. Pures Appl.*)

Regularity results for very degenerate elliptic equations (2014) - F. Santambrogio (
*chapter in "Optimal Transportation, theory and applications", London Math. Soc.*)

Introduction to Optimal Transport Theory (2014) - L. Brasco - G. Carlier (Accepted Paper:
*Dyn. Games. Appl.*)

Congested traffic equilibria and degenerate anisotropic PDEs (2012) - F. Santambrogio - V. Vespri (Accepted Paper:
*Nonlinear Analysis A*)

Continuity in two dimensions for a very degenerate elliptic equation (2010) - L. Brasco - G. Carlier - F. Santambrogio (Accepted Paper:
*J. Math. Pures Appl.*)

Congested traffic dynamics, weak flows and very degenerate elliptic equations (2010) - A. Figalli - C. Villani (
*Methods Appl. Anal.*)

An approximation lemma about the cut locus, with applications in optimal transport theory (2008) - J. M. Morel - F. Santambrogio (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

The regularity of optimal irrigation patterns (2008) - F. Santambrogio (
*J. Glob. Opt.*)

Transport and Concentration Problems with Interaction Effects (2007) - G. Buttazzo - E. Stepanov (
*Discrete Contin. Dyn. Syst.*)

Transport density in Monge-Kantorovich problems with Dirichlet conditions (2005) - F. Santambrogio - P. Tilli (
*J. Geom. Anal.*)

Blow-up of Optimal Sets in the Irrigation Problem (2005) - M. Novaga - E. Paolini (
*Annali di Matematica pura e Applicata*)

Regularity results for boundaries in ${\mathrm R}^2$ with prescribed anisotropic curvature (2005) - G. Cupini - R. Petti (
*NoDEA*)

Holder continuity of local minimizers of vectorial integral functionals (2003) - G. Cupini - M. Guidorzi - E. Mascolo (
*Nonlinear Anal.*)

Regularity of minimizers of vectorial integrals with p-q growth (2003) - G. Cupini - A. P. Migliorini (
*J. Convex Anal.*)

Hölder continuity for local minimizers of a nonconvex variational problem (2003) - G. Buttazzo - E. Stepanov (
*SIAM J. Control Optim.*)

On regularity of transport density in the Monge-Kantorovich problem (2003) - L. Ambrosio - M. Novaga - E. Paolini (
*ESAIM: COCV volume dedicated to J. L. Lions*)

Some Regularity Results for Minimal Crystals (2002) - M. Novaga - E. Paolini (
*Nonlinear Analysis: Real World Applications*)

Regularity results for some $1$-homogeneous functionals (2002) - S. J. N. Mosconi (Submitted Paper)

Discrete regularity for elliptic equations on graphs (2001) - G. Cupini - R. Petti (
*Rend. Mat. Appl*)

Morrey spaces and local regularity of minimizers of variational integrals (2001) - A. P. Migliorini (
*Rend. Ist. Mat. Trieste*)

Everywhere regularity for a class of elliptic systems with $p$, $q$ growth conditions (1999) - L. Ambrosio - E. Paolini (
*Ricerche di Matematica*)

Partial regularity for quasi minimizers of perimeter (1999) - E. Paolini (
*manuscripta math.*)

Regularity for minimal boundaries in $R^n$ with mean curvature in $L^n$ (1998) - E. De Giorgi - M. Carriero - A. Leaci (
*Archive for Rational Mechanics and Analysis*)

Existence theorem for a minimum problem with free discontinuity set (1989)