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- Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
- Anisotropic geometric variational problems: existence, regularity and uniqueness (Antonio De Rosa)
- Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
- Geometry of Metric Groups (Enrico Le Donne) > papers
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)

- 1 year Post-doc position in Bologna: Sub-Riemannian PDEs, minima of functionals and application to brain modelling (deadline: 23 Jun 2024)
- posizioni RTT tenure track, Università di Verona - nuova sede staccata di BELLUNO (deadline: 27 Jun 2024)
- PhD. positions at the University of Milan ("Università degli Studi di Milano") (deadline: 27 Jun 2024)
- FAPESP-Postdoc Position at the Inst. Math. Stat. of the University of São Paulo, SP, Brazil. (deadline: 30 Jun 2024)
- 5 PhD positions and 4 PostDocs positions, University of Vienna (deadline: 10 Jul 2024)
- Assistant professor (TT) in Mathematical Analysis (Lisbon, Portugal) (deadline: 10 Jul 2024)
- Assistant professor (TT) in Geometry and Topology (Lisbon, Portugal) (deadline: 10 Jul 2024)
- Tenure Track position in Mathematical Analysis - University of Milan (deadline: 19 Jul 2024)
- Scholarships for Master's degree in Analysis and Geometry (deadline: 30 Jul 2024)
- PhD position in Mathematics of Machine Learning at the University of Würzburg (deadline: 31 Jul 2024)
- Lecturer/Assistant Professor position at the University of Cyprus (deadline: 26 Aug 2024)
- PhD and Postdoc positions in Mathematics of Machine Learning at the University of Würzburg (deadline: 30 Aug 2024)

- 17 - 21 Jun 2024: Geometric Measure Theory and applications 2024 Cortona
- 24 - 28 Jun 2024: Vito Volterra Meeting in Calculus of Variations 2024 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
- 24 - 28 Jun 2024: First Johns Hopkins University - University of Bologna Conference "Noncommutativity at the Interface of Topology, Geometry and Analysis" Bologna, Italy
- 1 - 5 Jul 2024: Swansea Summer School in Nonlinear PDEs Swansea
- 3 - 5 Jul 2024: PaPa24: Padua Paris Sub-Riemannian seminar Padova
- 4 - 5 Jul 2024: Two nonlinear days in Urbino 2024 Urbino (Italy)
- 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
- 8 - 20 Jul 2024: Festum Pi Summer School + Conference in Chania Chania, Crete, Greece
- 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
- 22 - 26 Jul 2024: Summer School UIMP 2024 "The Laplacian and beyond. Celebrating the mathematics of Luis Caffarelli” Santander (Spain)
- 28 Jul - 3 Aug 2024: Summer School on Geometric Analysis and PDEs Bedlewo, Poland
- 29 Jul - 7 Aug 2024: Summer School ATA XVI: Sub-Riemannian Geometry and Optimal Transport Kolochava, Zakarpattya region, Ukraine
- 21 - 23 Aug 2024: Workshop - Metric Geometry and Geometric Measure Theory Fribourg, Switzerland
- 26 - 30 Aug 2024: Workshop on liquid thin films MPI MIS, Leipzig
- 1 - 6 Sep 2024: Quantum Optimal Transport and Applications Palazzone della Scuola Normale in Cortona
- 2 - 4 Sep 2024: Three days between analysis and geometry in Trento (third edition) Trento
- 2 - 4 Sep 2024: Meeting On Differential Equations in Ancona Università Politecnica delle Marche
- 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
- 9 - 13 Sep 2024: Pisa-Freiburg school in Applied Analysis Università di Pisa
- 9 - 13 Sep 2024: ''Italian-Japanese Workshop on Variational Perspectives for PDEs'' Pavia
- 12 - 13 Sep 2024: MGT^2 : Milano-Grenoble-Torino Meeting in Geometry and Topology Università degli Studi di Milano-Bicocca
- 12 - 14 Sep 2024: Recent Advances in NONLINEAR PDEs and Applications Hotel Ariston, Paestum (Salerno)
- 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
- 16 - 20 Sep 2024: Workshop "Calculus of Variations: a New Generation" Bonn
- 16 - 17 Sep 2024: Elliptic and parabolic problems: analytic and geometric methods Napoli
- 22 - 27 Sep 2024: Modelling, PDE analysis and computational mathematics in materials science Prague
- 23 Sep - 1 Oct 2024: School and Conference on Metric Measure Spaces, Ricci Curvature, and Optimal Transport Varenna
- 25 - 27 Sep 2024: Young Researchers Meeting on PDEs Milan, Italy
- 2 - 4 Oct 2024: PDEs in Tenerife:from theory to applications La Laguna, Tenerife, Spain
- 5 Nov - 5 Dec 2024: Γ-CONVERGENCE: A 50 YEARS LONG STORY Universitat de Barcelona
- 25 - 29 Nov 2024: Frontiers in Sub-Riemannian Geometry Paris, France
- 10 - 14 Feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 1 - 7 Jun 2025: Spring School on Analysis 2025: Function Spaces and Applications XIII Paseky nad Jizerou, Czech Republic

- M. Caselli - M. Freguglia - N. Picenni (Preprint)

A nonlocal approximation of the area in codimension two (2024) - M. Bresciani - M. Friedrich (preprint)

Quasistatic growth of cavities and cracks in the plane (2024) - A. Goffi (Submitted Paper)

Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations (2024) - F. Nobili - M. Novaga (Submitted Paper)

Lattice tilings with minimal perimeter and unequal volumes (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. Cucinotta - A. Mondino (Preprint)

A splitting theorem for manifolds with a convex boundary component (2024) - C. Brena - S. Decio (preprint)

Unique continuation for area minimizing currents (2024) - S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Submitted Paper)

A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations (2024) - G. Antonelli - M. Pozzetta - D. Semola (Preprint)

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature (2024) - W. Su - Y. R. Y. Zhang (preprint)

Carrot John domains in variational problems (2024) - H. Koch - Y. R. Y. Zhang - Y. Zhou (preprint)

An asymtotic sharp Sobolev regularity for planar infinity harmonic functions (2018) - H. Koch - Y. R. Y. Zhang - Y. Zhou (preprint)

Some sharp Sobolev regularity for inhomogeneous $\infty$-Laplace equation in plane (2018) - Y. R. Y. Zhang - Y. Zhou (preprint)

C^1-Regularity of planar \infty-harmonic functions - REVISIT (2019) - Y. R. Y. Zhang (preprint)

Schoenflies solutions of conformal boundary values may fail to be Sobolev (2018) - H. Dong - P. Fa - Y. R. Y. Zhang - Y. Zhou (preprint)

Second order regularity for elliptic and parabolic equations involving $p$-Laplacian via a fundamental inequality (2019) - F. Peng - Y. R. Y. Zhang - Y. Zhou (preprint)

Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in $\mathbb R^n$ with $n\ge10$ (2021) - A. Figalli - Y. R. Y. Zhang (preprint)

Strong stability of convexity with respect to the perimeter (2023) - H. Dong - F. Peng - Y. R. Y. Zhang - Y. Zhou (preprint)

Jacobian determinants for (nonlinear) gradient of planar $\infty$-harmonic functions and applications (2022) - F. Peng - Y. R. Y. Zhang - Y. Zhou (preprint)

Regularity from $p$-harmonic potentials to $\infty$-harmonic potentials in convex rings (2023) - W. Su - Y. R. Y. Zhang (Submitted)

John property of anisotropic minimal surfaces (2024) - S. Eriksson-Bique - A. Pinamonti - G. Speight (Preprint)

Universal Differentiability Sets in Laakso Space (2024) - N. Biswas - R. Kumar (preprint)

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings (2024) - R. Kumar - A. Sarkar (Accepted Paper:
*Topological Methods in Nonlinear Analysis*)

Existence of Positive Solutions for Generalized Fractional Brézis-Nirenberg Problem (2024) - H. Shum - M. Zoppello - M. Astwood - M. Morandotti (preprint)

Control of Microparticles Through Hydrodynamic Interactions (2024)

- M. Caselli - E. Florit-Simon - J. Serra (
*Mathematische Annalen*)

Fractional Sobolev spaces on Riemannian manifolds (2024) - F. Giannetti - G. Stefani (Accepted Paper:
*Topol. Methods Nonlinear Anal.*)

On the monotonicity of non-local perimeter of convex bodies (2023) - V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (
*Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.*)

A new proof of the Riemannian Penrose inequality (2023) - M. Bresciani - M. Kruzik (
*SIAM Journal of Mathematical Analysis*)

A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity (2021) - V. Ehrlacher - L. Nenna (Preprint)

A sparse approximation of the Lieb functional with moment constraints (2023) - R. Kumar - T. Mukherjee - A. Sarkar (Accepted Paper:
*Differential and Integral Equations*)

On critically coupled (s_1, s_2)-fractional system of Schrödinger equations with Hardy potential (2023) - A. Corbo Esposito - L. Faella - V. Mottola - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

Piecewise nonlinear materials and Monotonicity Principle (2023) - C. Muratov - M. Novaga - P. Zaleski (Accepted Paper:
*Arch. Rat. Mech. Anal.*)

A variational model of charged drops in dielectrically matched binary fluids: the effect of charge discreteness (2023) - N. De Ponti - S. Pigola - G. Veronelli (Accepted Paper:
*International Mathematics Research Notices*)

Unique continuation at infinity: Carleman estimates on general warped cylinders (2024) - A. Pluda - M. Pozzetta (
*Mathematische Annalen*)

Lojasiewicz-Simon inequalities for minimal networks: stability and convergence (2024) - G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (
*Mathematische Annalen*)

Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds (2024) - U. Das - R. Kumar - A. Sarkar (preprint)

Characterizations of compactness and weighted eigenvalue problem for fractional $p$-Laplacian in $\mathbb{R}^N$ (2023) - R. Kumar - T. Mukherjee - A. Sarkar (preprint)

On a fractional system of NLS-KDV equations with Hardy potentials (2023) - N. Biswas - R. Kumar (preprint)

On semipositone problems over $\mathbb{R}^N$ for the fractional $p$-Laplace operator (2024) - H. Hajaiej - R. Kumar - T. Mukherjee - L. Song (Accepted Paper:
*Asymptotic Analysis*)

Existence and non-existence results to a mixed Schrodinger system in a plane (2024) - A. Braides (
*Comptes Rendus - Série Mathématique*)

A simplified counterexample to the integral representation of the relaxation of double integrals (2024) - G. Savaré - G. E. Sodini (
*Journal de Mathématiques Pures et Appliquées*)

A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation (2024) - G. Saracco (
*Expo. Math.*)

Geometric criteria for the existence of capillary surfaces in tubes (2024) - D. Giachetti - F. Oliva - F. Petitta (Accepted Paper:
*J. Geom. Anal.*)

Bounded solutions for non-parametric mean curvature problems with nonlinear terms (2024) - A. Pinamonti - G. Speight - S. Zimmerman (Accepted Paper:
*J. Math. Pures Appl.*)

Higher Order Whitney Extension and Lusin Approximation for Horizontal Curves in the Heisenberg Group (2024) - L. Capogna - G. Giovannardi - A. Pinamonti - S. Verzellesi (
*Math. Ann.*)

The asymptotic $p$-Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces (2023) - F. Essebei - S. Verzellesi (
*Nonlinear Anal.*)

$\Gamma$-Compactness of Some Classes of Integral Functionals depending on Vector Fields (2022) - A. Pinamonti - S. Verzellesi - C. Wang (
*Bull. Lond. Math. Soc.*)

The Aronsson Equation for Absolute Minimizers of Supremal Functionals in Carnot-Carathéodory Spaces (2022) - F. Essebei - A. Pinamonti - S. Verzellesi (
*Adv. Calc. Var.*)

Integral representation of local functionals depending on vector fields (2022) - G. Giovannardi - A. Pinamonti - J. Pozuelo - S. Verzellesi (Accepted Paper:
*Adv. Math.*)

The prescribed mean curvature equation for $t$-graphs in the Sub-Finsler Heisenberg group $\mathbb{H}^n$ (2024) - F. Corni - V. Magnani (
*Adv. Calc. Var.*)

Area formula for regular submanifolds of low codimension in Heisenberg groups (2023) - G. M. Leccese - V. Magnani (
*Ann. Mat. Pura Appl.*)

A study of measure-theoretic area formulas (2022) - V. Magnani - A. Minne (
*Anal. PDE*)

Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian (2022)