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- 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
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)

- 27 Feb 2024: PhD + Postdoc at Westlake (China)

- Postdoc position an the University of Duisburg-Essen, Germany (deadline: 7 Mar 2024)
- Associate Professor MAT/07 (deadline: 11 Mar 2024)
- PhD or Postdoc position (3 years) in Applied Analysis, TU Dresden (deadline: 12 Mar 2024)
- Post-doc Position in Mathematics in Padova (deadline: 13 Mar 2024)
- 3 Maitre de Conférence (permanent) positions in Université de Lorraine, France (deadline: 18 Mar 2024)
- Research contract at Scuola Normale Superiore on "Variational and Analytical aspects of Geometric PDEs" (deadline: 18 Mar 2024)
- Willmore Fellow in Applied Mathematics @ Durham University, UK (deadline: 25 Mar 2024)
- Tenure Track position (RTT) in Mathematical Analysis - Insubria University (deadline: 28 Mar 2024)
- Maitre de Conference Position at IMATH-University of Toulon (deadline: 29 Mar 2024)
- 5-10 Postdoctoral positions at Jyväskylä (deadline: 31 Mar 2024)
- PhD Position in Optimization, Optimal Transport and Inverse Problems, University of Twente (deadline: 5 Apr 2024)
- 5 postdoc positions in Padova (deadline: 29 Apr 2024)
- Ph.D. position in modular-topology optimization of compliant structures, mechanisms, and materials, Czech Technical University in Prague (deadline: 30 Apr 2024)
- LMS Distinguished Visiting Fellowships programme at ICMU Kyiv (deadline: 31 May 2024)
- FAPESP-Postdoc Position at the Inst. Math. Stat. of the University of São Paulo, SP, Brazil. (deadline: 30 Jun 2024)

- 7 Mar 2024:
**J. Marx-Kuo:***An Allen--Cahn Energy on Hypersurfaces and Index of Minimizers*

- 5 - 5 Mar 2024: Calculus of Variations and Free Boundary Problems VII Aula Magna, Dipartimento di Matematica, Università di Pisa
- 6 - 7 Mar 2024: CalVaFer - Calculus of Variations in Ferrara Palazzo Manfredini, Ferrara
- 6 - 7 Mar 2024: Particle Systems in Dynamics, Optimization, and Learning
- 11 - 15 Mar 2024: Workshop on Optimal Transport from Theory to Applications -- Interfacing Dynamical Systems, Optimization, and Machine Learning Berlin
- 25 - 29 Mar 2024: journées SMAI-MODE 2024
- 25 - 28 Mar 2024: M&M's - Measures and Materials Workshop University of Warwick
- 2 - 5 Apr 2024: Spring School "Modern Aspects of Analysis on Lie Groups", Göttingen Göttingen
- 3 - 5 Apr 2024: XXIII Symposium on Trends in Applications of Mathematics to Mechanics, University of Würzburg, Germany
- 8 - 12 Apr 2024: Spring School on "Mathematical Advances for Complex Materials with Microstructures" University of Würzburg
- 21 - 26 Apr 2024: Conference "The Cahn-Hilliard equation - recent advances and new challenges" Chęciny, Poland
- 6 - 7 May 2024: Dispersion and Geometry in Padova Padova
- 19 - 24 May 2024: Oberwolfach School: Long-time behavior in Fluids Oberwolfach
- 27 - 29 May 2024: Shape Optimization, Geometric Inequalities and Related Topics – II Edition Sala del rettorato dell’Università del Salento, Lecce
- 27 - 31 May 2024: Modeling and analysis in nanomagnetism and beyond Department of Mathematics, University of Parma
- 30 - 30 May 2024: One-Day Workshop on Applied Mathematics Politecnico di Bari
- 3 - 7 Jun 2024: Barcelona Analysis Conference 24 Barcelona
- 5 - 7 Jun 2024: Perspectives in PDEs, Global and Functional Analysis Università degli Studi dell'Insubria - Sede di Sant'Abbondio a Como
- 6 - 7 Jun 2024: Calculus of Variations and Nonlinear Analysis in the Applied Sciences Dipartimento SBAI, Sapienza - Università di Roma
- 6 - 7 Jun 2024: NonPUB24 Dipartimento di Matematica, Università di Bologna
- 9 - 14 Jun 2024: 13th School on Analysis and Geometry in Metric Spaces Trento
- 9 - 15 Jun 2024: Geometric And Variational Analysis - In memory of Jan Malý Będlewo, Poland
- 17 - 21 Jun 2024: Geometric Measure Theory and applications 2024 Cortona
- 24 - 28 Jun 2024: Second Vito Volterra Meeting in Calculus of Variations Department of Mathematics, Sapienza, Rome
- 24 - 28 Jun 2024: Calculus of Variations in Lille - 4th edition Lille, France
- 24 - 28 Jun 2024: Mini-courses in Mathematical Analysis 2024 Padova, Italy
- 1 - 5 Jul 2024: Swansea Summer School in Nonlinear PDEs Swansea
- 8 - 12 Jul 2024: Diffuse Interface methods in Continuum Mechanics: analysis, singular limits and algorithms Cetraro, Italy
- 8 - 12 Jul 2024: Alhambra PDE days Granada
- 8 - 12 Jul 2024: 20th School on Interactions between Dynamical Systems and Partial Differential Equations (JISD2024) Barcelona, Spain
- 8 - 12 Jul 2024: A School on Regularity Theory in the South of Italy
- 11 - 12 Jul 2024: Variational Inequalities, Nash Equilibrium Problems and Applications (VINEPA 2024) Catania, Department of Mathematics and Computer Science
- 22 - 26 Jul 2024: Bridging PDE and Geometric Flows - An LMS-HIMR Research School Cardiff University - School of Mathematics
- 28 Jul - 3 Aug 2024: Summer School on Geometric Analysis and PDEs Bedlewo, Poland
- 26 - 30 Aug 2024: Workshop on liquid thin films MPI MIS, Leipzig
- 3 - 6 Sep 2024: Perturbations, Asymptotics, and related Tools Matera, Italy
- 5 - 7 Sep 2024: A Pisan workshop in Geometric Analysis Università di Pisa
- 9 - 13 Sep 2024: UK Workshop on Spectral Theory ICMS, Edinburgh, UK
- 16 - 19 Sep 2024: 12th Workshop of the GAMM Activity Group "Analysis of Partial Differential Equations" Prague
- 16 - 20 Sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso Samos, Greece
- 23 Sep - 1 Oct 2024: School and Conference on Metric Measure Spaces, Ricci Curvature, and Optimal Transport Varenna

- N. De Ponti - G. Stefani (Submitted Paper)

Properties of Lipschitz smoothing heat semigroups (2024) - S. Dweik (Preprint)

Optimal holes for the $W^{1,\infty}$ Poincaré inequality (2024) - F. Riva - E. Rocca (Preprint)

A rigorous approach to the sharp interface limit for phase-field models of tumor growth (2024) - F. Dragoni - Q. Liu - Y. Zhang (Preprint)

Horizontal semiconcavity for the square of Carnot-Carath\'eodory distance on ideal Carnot groups and applications to Hamilton-Jacobi equations (2024) - A. C. Barroso - J. Matias - E. Zappale (Accepted Paper:
*Nonlinear Differential Equations and Applications*)

A Global Method for Relaxation for Multi-levelled Structured Deformations (2024) - R. Ferreira - J. Matias - E. Zappale (Preprint)

Junction in a thin multi-domain for nonsimple grade two materials in BH (2024) - A. Corbo Esposito - L. Faella - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data (2023) - A. Corbo Esposito - L. Faella - V. Mottola - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems (2023) - A. Corbo Esposito - L. Faella - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data (2023) - A. Corbo Esposito - L. Faella - V. Mottola - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems (2023) - A. Corbo Esposito - L. Faella - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data (2023) - A. Corbo Esposito - L. Faella - V. Mottola - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems (2023) - V. Mottola - A. Corbo Esposito - G. Piscitelli - A. Tamburrino (preprint)

Imaging of nonlinear materials via the Monotonicity Principle (2023) - A. Corbo Esposito - L. Faella - V. Mottola - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

Monotonicity principle for the imaging of piecewise nonlinear materials (2023) - V. Ferone - G. Piscitelli - B. Volzone (preprint)

Symmetrization results for general nonlocal linear ellipitic and parabolic problems (2023) - A. Braides - G. Dal Maso - C. Le Bris (Submitted Paper)

A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization (2024) - E. Caputo - N. Cavallucci (preprint)

A geometric approach to Poincaré inequality and Minkowski content of separating sets (2024) - A. Gerolin - N. Monina (preprint)

Non-commutative Optimal Transport for semi-definite positive matrices (2023) - G. Saracco (Accepted Paper:
*Expo. Math.*)

Geometric criteria for the existence of capillary surfaces in tubes (2024) - P. De Donato (preprint)

The Stepanov theorem for Q-valued functions (2024) - P. De Donato (Ph.D. Thesis)

Rectifiability of stationary varifolds branching set with multiplicity at most 2 (2023) - D. Corona - S. Nardulli - R. Oliver-Bonafoux - G. Orlandi - P. Paolo (Submitted Paper:
*ArXiv*)

Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary (2024) - S. Borza - M. Magnabosco - T. Rossi - K. Tashiro (preprint)

Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups (2024) - R. Adami - F. Boni - R. Carlone - L. Tentarelli (preprint)

NLS ground states on a hybrid plane (2024) - D. Engl - C. Kreisbeck - M. Morandotti (Submitted Paper)

Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities (2024) - M. Carioni - S. Mukherjee - Hong Ye Tan - J. Tang (preprint)

Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imaging (2023) - M. Carioni - Leonardo Del Grande (preprint)

A General Theory for Exact Sparse Representation Recovery in Convex Optimization (2023) - K. Bredies - M. Carioni - M. Holler - Y. Korolev - C. B. Schönlieb (preprint)

A sparse optimization approach to infinite infimal convolution regularization (2023) - M. Carioni - J. A. Iglesias - D. Walter (
*Foundations of Computational Mathematics*)

Extremal points and sparse optimization for generalized Kantorovich-Rubinstein norms (2023) - S. Krömer - M. Kruzik - M. Morandotti - E. Zappale (Submitted Paper)

Measure structured deformations (2024) - A. Tyulenev (
*Sbornik:Mathematics*)

Tracaes of Sobolev spaces to irregular subsets of metric measure spaces (2023) - G. C. Brusca - D. Donati - M. Solci (preprint)

Higher-order singular perturbation models for phase transitions (2024) - A. Cucinotta (
*Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.*)

On the properties of the set where a generalized function of bounded variation takes an infinite value (2024) - M. Caroccia - R. Scala (Preprint)

On the singular planar Plateau problem (2024) - M. Bresciani - M. Friedrich - C. Mora-Corral (Preprint)

Variational models with Eulerian-Lagrangian formulation allowing for material failure (2024) - A. Cucinotta - A. Mondino (Preprint)

Half Space Property in RCD(0,N) spaces (2024) - S. Verzellesi (Submitted Paper)

Variational properties of local functionals driven by arbitrary anisotropies (2024)

- W. Borrelli - M. Correggi - D. Fermi (Accepted Paper:
*J. Spectr. Theory*)

Pauli Hamiltonians with an Aharonov-Bohm flux (2024) - A. Cesaroni - M. Novaga (Accepted Paper:
*Nonlinear Analysis*)

Periodic partitions with minimal perimeter (2022) - J. Ok - G. Scilla - B. Stroffolini (Accepted Paper:
*Calculus of Variations and Partial Differential Equations*)

Partial regularity results for degenerate parabolic systems with general growth via caloric approximations (2023) - G. Palatucci - M. Piccinini (
*Bruno Pini Math. Anal. Semin.*)

Nonlinear fractional equations in the Heisenberg group (2024) - G. Palatucci - M. Piccinini - L. Temperini (
*Trends in Mathematics*)

Global Compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group (2024) - F. De Filippis - M. Piccinini (Submitted Paper)

Regularity for multi-phase problems at nearly linear growth (2024) - G. Palatucci - M. Piccinini - L. Temperini (Submitted Paper)

Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group (2023) - E. Caputo - J. Koivu - T. Rajala (Accepted Paper)

Sobolev, BV and perimeter extensions in metric measure spaces (2023) - G. Canevari - V. P. C. Le (Accepted Paper:
*Annali della Scuola Normale Superiore di Pisa, Classe di Scienze*)

Energy-minimizing torus-valued maps with prescribed singularities, Plateau's problem, and BV-lifting (2024) - M. Eleuteri - F. Prinari - E. Zappale (preprint:
*Mathematical Models and Methods in Applied Sciences*)

Asymptotic analysis of thin structures with point dependent energy growth (2023) - N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (
*Fractional Calculus and Applied Analysis*)

Schrödinger-Maxwell equations driven by mixed local-nonlocal operators (2024) - F. Bianchi - L. Brasco (Accepted Paper:
*J. London Math. Soc.*)

An optimal lower bound in fractional spectral geometry for planar sets with topological constraints (2023) - F. Anceschi - G. Palatucci - M. Piccinini (Preprint)

Harnack inequalities for kinetic integral equations (2024) - M. Magnabosco - L. Portinale - T. Rossi (
*Nonlinear Analysis*)

The Brunn--Minkowski inequality implies the CD condition in weighted Riemannian manifolds (2024) - L. Dello Schiavo - L. Portinale - F. Sau (Accepted Paper:
*To appear in Annals of Applied Probability*)

Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains (2021) - A. Muñoz Flores - S. Nardulli (Submitted Paper)

Continuity and differentiability properties of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry (2014) - Abraham Henrique Muñoz Flores - S. Nardulli (Accepted Paper:
*Comunications in Analysis and Geometry*)

The isoperimetric problem of a complete Riemannian manifolds with a finite number of $C^0$-asymptotically Schwarzschild ends (2015) - A. Muñoz Flores - S. Nardulli (
*Geometriae Dedicata*)

Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry (2019) - S. Nardulli - L. E. Osorio Acevedo (
*International Mathematics Research Notices*)

Sharp isoperimetric inequalities for small volumes in complete noncompact Riemannian manifolds of bounded geometry involving the scalar curvature (2016) - C. De Lellis - S. Nardulli - S. Steinbrüchel (
*Nonlinear Analysis*)

Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents (2023) - V. Benci - D. Corona - S. Nardulli - L. E. Osorio Acevedo - P. Piccione (
*Nonlinear Analysis*)

Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint (2022) - C. De Lellis - S. Nardulli - S. Steinbrüchel (
*Publications Mathématiques de l' I.H.É.S.*)

An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity (2024) - J. H. Andrade - J. Conrado - S. Nardulli - P. Piccione - R. Resende (
*Journal of Functional Analysis*)

Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds (2024) - M. Barchiesi - D. Henao - C. Mora-Corral - R. Rodiac (
*Forum of Mathematics, Sigma*)

On the lack of compactness in the axisymmetric neo-Hookean model (2024) - M. Izydorek - J. Janczewska - S. Kryzhevich - E. Stepanov (Preprint)

Constructive nonholonomic controllability of control affine systems on compact manifolds (2023) - S. Almi - R. Durastanti - F. Solombrino (Preprint)

A Pontryagin Maximum Principle for agent-based models with convex state space (2024) - M. Carioni - J. Fischer - A. Schlömerkemper (
*Journal of Convex Analysis*)

External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a Γ-development (2020) - K. Bredies - M. Carioni - M. Holler (
*Inverse Problems*)

Regularization Graphs - A unified framework for variational regularization of inverse problems (2022) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Accepted Paper:
*Annali di Matematica Pura e Applicata*)

Stability of the Gaussian Faber-Krahn inequality (2023) - A. Monteil - P. Pegon (
*Journal de l'École Polytechnique*)

Mass concentration in rescaled first order integral functionals (2024) - M. Freguglia - A. Malchiodi (Submitted Paper)

Yamabe metrics on conical manifolds (2024) - G. Dal Maso - D. Donati (
*Nonlinear Analysis*)

Gamma-convergence of quadratic functionals perturbed by bounded linear functionals (2024) - K. ASHOK KUMAR - N. Biswas (
*Journal of Geometric Analysis*)

Strict monotonicity of the first $q$-eigenvalue of the fractional $p$-Laplace operator over annuli (2024) - G. Catino - P. Mastrolia - A. Roncoroni (
*Geom. Funct. Anal.*)

Two rigidity results for stable minimal hypersurfaces (2024) - S. Carano (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Relaxed area of $0$-homogeneous maps in the strict $BV$-convergence (2023) - G. Di Fratta - V. Slastikov - A. Zarnescu (Submitted Paper)

Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime (2023)