**2019**
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- R. Adami - U. Boscain - V. Franceschi - D. Prandi (Submitted Paper)

Point interactions for 3D sub-Laplacians (2019) - F. Alessio - P. Montecchiari - A. Zuniga (Submitted Paper)

Prescribed-energy connecting orbits for gradient systems (2019) - N. Ansini - S. Fagioli (Submitted Paper)

Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation (2019) - A. Baldi - B. Franchi - P. Pansu (Submitted Paper)

{$L^1$-{P}oincar\'e inequalities for differential forms on {E}uclidean spaces and {H}eisenberg groups} (2019) - M. Bardi - A. Cesaroni - E. Topp (Submitted Paper)

Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms (2019) - M. Bardi - A. Goffi (Submitted Paper)

New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs (2019) - D. Barilari - I. Beschastnyi - A. Lerario (Accepted Paper:
*Journal of Symplectic Geometry*)

Volume of small balls and sub-Riemannian curvature in 3D contact manifolds (2019) - D. Barilari - S. Ivanov (
*Calc. Var. PDE*)

A Bonnet-Myers type theorem for quaternionic contact structures (2019) - D. Bartolucci - A. Jevnikar (Preprint)

On the global bifurcation diagram of the Gel'fand problem (2019) - G. Bellettini - A. Elshorbagy - M. Paolini - R. Scala (Preprint)

On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions (2019) - U. Bindini (preprint)

Smoothing operators in multi-marginal Optimal Transport (2019) - M. Bonafini - M. Novaga - G. Orlandi (Submitted Paper)

A variational scheme for hyperbolic obstacle problems (2019) - A. Braides - V. Chiadò Piat (
*Applicable Analysis*)

Homogenization of networks in domains with oscillating boundaries (2019) - L. Brasco - E. Cinti - S. Vita (Preprint)

A quantitative stability estimate for the fractional Faber-Krahn inequality (2019) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)

The Multiphase Mumford-Shah Problem (2019) - V. Buffa - M. Miranda Jr (Preprint)

Rough Traces of $BV$ Functions in Metric Measure Spaces (2019) - L. Bungert - M. Burger - A. Chambolle - M. Novaga (Submitted Paper)

Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals (2019) - F. Cagnetti (Accepted Paper:
*Portugaliae Mathematica*)

Rigidity for Perimeter Inequalities under symmetrization: state of the art and open problems (2019) - A. Cesaroni - M. Cirant - S. Dipierro - M. Novaga - E. Valdinoci (
*J. Math. Pures Appl.*)

On stationary fractional Mean Field Games (2019) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (Accepted Paper:
*Math. Ann.*)

Fattening and nonfattening phenomena for planar nonlocal curvature flows (2019) - A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (
*Anal. PDE*)

Generalized crystalline evolutions as limits of flows with smooth anisotropies (2019) - G. Q. Chen - G. E. Comi - M. Torres (
*Arch. Ration. Mech. Anal.*)

Cauchy Fluxes and Gauss-Green Formulas for Divergence-Measure Fields over General Open Sets (2019) - M. Cicalese - G. P. Leonardi (Submitted Paper)

Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (2019) - S. Di Marino - F. Stra - M. Colombo (Submitted Paper)

Continuity of multi-marginal optimal transport with repulsive cost (2019) - G. Crasta - V. De Cicco - A. Malusa (Preprint)

Pairings between bounded divergence-measure vector fields and BV functions (2019) - E. Davoli - R. Ferreira - C. Kreisbeck (Submitted Paper)

Homogenization in $BV$ of a model for layered composites in finite crystal plasticity (2019) - E. Davoli - I. Fonseca - P. Liu (Submitted Paper)

Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme (2019) - E. Davoli - H. Ranetbauer - L. Scarpa - L. Trussardi (Submitted Paper)

Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics (2019) - E. Davoli - T. Roubicek - U. Stefanelli (Accepted Paper:
*ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik*)

Dynamic perfect plasticity and damage in viscoelastic solids (2019) - E. Davoli - U. Stefanelli (Accepted Paper:
*SIAM Journal on Mathematical Analysis*)

Dynamic perfect plasticity as convex minimization (2019) - C. De Filippis - G. Palatucci (Accepted Paper:
*J. Differential Equations*)

Hölder regularity for nonlocal double phase equations (2019) - C. De Lellis - L. J. Székelyhidi (Accepted Paper:
*To appear in the Notices of the AMS*)

On turbulence and geometry: from Nash to Onsager (2019) - G. De Philippis - A. De Rosa - J. Hirsch (
*Discrete Contin. Dyn. Syst.*)

The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals (2019) - G. De Philippis - J. Hirsch - G. Vescovo (Submitted Paper)

Regularity of minimizers for a model of charged droplets (2019) - G. De Philippis - M. Marini - E. Mukoseeva (Submitted Paper)

The sharp quantitative isocapacitary inequality (2019) - N. De Ponti - A. Mondino (Preprint)

Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces (2019) - G. Del Nin (Preprint)

Some asymptotic results on the global shape of planar clusters (2019) - S. Dipierro - M. Novaga - E. Valdinoci (
*J. London Math. Soc.*)

On a Minkowski geometric flow in the plane: Evolution of curves with lack of scale invariance (2019) - V. Franceschi - D. Prandi - L. Rizzi (
*Potential Anal.*)

On the essential self-adjointness of singular sub-Laplacians (2019) - G. Fusco - G. F. Gronchi - M. Novaga (
*Minimax Theory Appl.*)

Existence of periodic orbits near heteroclinic connections (2019) - H. Garcke - J. Menzel - A. Pluda (Preprint)

Long Time Existence of Solutions to an Elastic Flow of Networks (2019) - N. Gigli (Preprint)

Riemann curvature tensor on RCD spaces and possible applications (2019) - N. Gigli - A. Tyulenev (Preprint)

Korevaar-Schoen's directional energy and Ambrosio's regular Lagrangian flows (2019) - B. Han (Preprint)

Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds (2019) - L. Kreutz - P. Piovano (Submitted Paper)

Microscopic validation of a variational model of epitaxially strained crystalline films (2019) - G. Lazzaroni - L. Nardini (Accepted Paper:
*ESAIM: COCV*)

On the 1d wave equation in time-dependent domains and the problem of debond initiation (2019) - E. Le Donne - S. Nicolussi Golo (preprint)

Metric Lie groups admitting dilations (2019) - M. Lewicka - D. Lučić (Accepted Paper:
*Communications on Pure and Applied Mathematics*)

Dimension reduction for thin films with transversally varying prestrain: the oscillatory and the non-oscillatory case (2019) - M. Mayer (Submitted Paper)

Prescribing Morse scalar curvatures: critical points at infinity (2019) - D. Mucci - A. Saracco (Submitted Paper)

The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion (2019) - Q. H. Nguyen - C. P. Nguyen (Submitted Paper)

Pointwise gradient estimates for a class of singular quasilinear equation with measure data (2019) - E. Pasqualetto (Preprint)

Direct and inverse limits of normed modules (2019) - R. Rios-Zertuche (preprint)

Weak KAM theory in higher-dimensional holonomic measure flows (2019) - R. Rossi (Accepted Paper:
*Mathematical Models and Methods in the Applied Sciences*)

Visco-Energetic solutions to some rate-independent systems in damage, delamination, and plasticity (2019) - A. Zuniga (
*Nonlinear Analysis*)

Continuity of minimizers to weighted least gradient problems (2019)