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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)

- Assistant/Associate Professor in Mathematics at Heriot-Watt University (2 positions) (deadline: 21 Jan 2022)
- Analysis of Equations in Fluid Dynamics (deadline: 25 Jan 2022)
- JVP positions at Centro de Giorgi (deadline: 25 Jan 2022)
- Postdoctoral positions at the CRM (Barcelona) (deadline: 31 Jan 2022)
- Postdoc in Oldenburg (spectral theory), 2 years (deadline: 31 Jan 2022)
- Postdoc positions in Barcelona (deadline: 31 Jan 2022)
- Three-year Postdoctoral position in Calculus of Variations & PDE, at TU Dortmund, Germany (deadline: 31 Jan 2022)
- Assistant/Associate Professor in Pure Mathematics at University of Nottingham (deadline: 3 Feb 2022)
- Post Doctorate Research Associate at Heriot-Watt University (2 years) (deadline: 7 Feb 2022)
- Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China (deadline: 11 Feb 2022)
- Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2022)
- Postdoctoral Researcher for Analysis of Quasilinear Parabolic PDEs (deadline: 13 Feb 2022)
- Research project on Optimal Transportation (deadline: 31 Dec 2022)

- 17 - 21 Jan 2022: Workshop on The Mathematics of Machine Learning [POSTPONED] Pisa: Centro De Giorgi
- 28 - 28 Jan 2022: One day in double phase problems in Ancona Online on Zoom platform
- 16 - 18 Feb 2022: PDEs in presence in Rome 2022 Rome
- 21 - 25 Feb 2022: Free Boundary Problems and Related Evolution Equations Erwin Schrödinger Institute (ESI), Vienna, Austria
- 28 Feb - 4 Mar 2022: LMS Invited Lecture Series on the Mathematics of Deep Learning Isaac Newton Institute, Cambridge, UK
- 28 Mar - 1 Apr 2022: Geometry and Control in Florence
- 4 - 8 Apr 2022: Hausdorff School: “Diffusive Systems - part II” Bonn (Germany)
- 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
- 16 - 22 May 2022: Calculus of Variations-Back to Carthage Carthage
- 16 - 20 May 2022: Beyond Elasticity: Advances and Research Challenges Luminy, France
- 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
- 13 - 18 Jun 2022: 20 years of Summer Schools on CalcVar in Rome Department of Mathematics, Sapienza, Rome
- 20 - 24 Jun 2022: Lake Como School of Advanced Studies in Mathematical Models for Bio-Medical Sciences Como
- 27 - 29 Jun 2022: Young Women in Geometric Analysis Bonn, Germany
- 27 Jun - 1 Jul 2022: 18th School on Interactions Between Dynamical Systems and Partial Differential Equations (JISD2022) Barcelona
- 4 - 6 Jul 2022: Calculus of Variations in Lille - 3rd edition Lille, France
- 4 - 6 Jul 2022: Portugal-Italy Conference on Nonlinear Differential Equations and Applications Évora, Portugal
- 18 - 22 Jul 2022: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
- 12 - 16 Sep 2022: Summerschool on Analysis and Applied Mathematics Münster
- 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

- A. Kroshnin - E. Stepanov - D. Trevisan (Preprint)

Infinite multidimensional scaling for metric measure spaces (2022) - G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Preprint)

Sharp isoperimetric comparison and asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds (2022) - S. Borza (
*The Journal of Geometric Analysis*)

Distortion Coefficients of the $\alpha$-Grushin Plane (2022) - D. De Gennaro - A. Kubin (preprint)

Long Time Behaviour of the Discrete Volume Preserving Mean Curvature Flow in the Flat Torus (2022) - F. Bagagiolo - L. Marzufero (Preprint)

A time-dependent switching mean-field game on networks motivated by optimal visiting problems (2021) - M. Goldman - M. Novaga - B. Ruffini (Submitted Paper)

Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion (2022) - G. Dal Maso - R. Toader (Submitted Paper)

A new space of generalised functions with bounded variation motivated by fracture mechanics (2022) - G. Antonelli - S. Nardulli - M. Pozzetta (Preprint)

The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds (2022) - L. Brasco - E. Lindgren (Preprint)

Uniqueness of extremals for some sharp Poincaré-Sobolev constants (2022) - D. Castorina - G. Catino - C. Mantegazza (Submitted Paper)

Semilinear Li & Yau inequalities (2022) - P. Marcellini - E. Paolini (Accepted Paper:
*Imagine Math*)

Origami and fractal solutions of differential systems (2022) - A. Braides - M. Solci (Lecture Notes:
*Birkhäuser Pathways of Mathematics*)

Geometric Flows on Planar Lattices (2021) - L. Nenna - B. Pass (Preprint)

Transport type metrics on the space of probability measures involving singular base measures (2022)

- D. Bourne - C. Egan - B. Pelloni - M. Wilkinson (
*Calculus of Variations and Partial Differential Equations*)

Semi-discrete optimal transport methods for the semi-geostrophic equations (2022) - C. Rigoni - E. Stepanov - D. Trevisan (Accepted Paper:
*J. London Math. Soc.*)

Lie brackets of nonsmooth vector fields and commutation of their flows (2020) - G. Bellettini - R. Marziani - R. Scala (Submitted Paper)

A non-parametric Plateau problem with partial free boundary (2021) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)

Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (2021) - D. King - F. Maggi - S. Stuvard (
*Arch. Ration. Mech. Anal.*)

Smoothness of collapsed regions in a capillarity model for soap films (2022) - D. King - F. Maggi - S. Stuvard (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Collapsing and the convex hull property in a soap film capillarity model (2021) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (
*Comm. Pure Appl. Math.*)

Area minimizing currents mod $2Q$: linear regularity theory (2022) - D. King - F. Maggi - S. Stuvard (
*Comm. Pure Appl. Math.*)

Plateau's problem as a singular limit of capillarity problems (2020) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Accepted Paper:
*Communications in Analysis and Geometry*)

A quantitative dimension free isoperimetric inequality for the Fractional Gaussian Perimeter (2022) - S. Almi - E. Tasso (
*Advances in Calculus of Variations*)

A new proof of compactness in G(S)BD (2022) - S. Almi - E. Tasso (
*Proceedings of the Royal Society of Edinburgh*)

Brittle fracture in linearly elastic plates (2021) - M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (Submitted Paper)

Isoperimetric clusters in homogeneous spaces via concentration compactness (2021) - L. De Luca - M. Novaga - M. Ponsiglione (
*Ann. Scuola Normale Sup. Pisa*)

The $0$-fractional perimeter between fractional perimeters and Riesz potentials (2021) - R. Resende de Oliveira (Accepted Paper:
*Journal of Dynamical and Control Systems*)

On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry (2022) - F. Bagagiolo - A. Festa - L. Marzufero (
*IFAC-PapersOnLine*)

A hybrid control framework for an optimal visiting problem (2021) - F. Bagagiolo - A. Festa - L. Marzufero (
*IFAC-PapersOnLine*)

The orienteering problem: a hybrid control formulation (2021) - F. Bagagiolo - A. Festa - L. Marzufero (
*Nonlinear Differential Equations and Applications*)

Hybrid control for optimal visiting problems for a single player and for a crowd (2022) - P. Bonicatto - G. Del Nin - E. Pasqualetto (
*J. Funct. Anal.*)

Decomposition of integral metric currents (2022) - M. Friedrich - M. Perugini - F. Solombrino (Accepted Paper:
*Indiana University Mathematics Journal*)

$Γ$-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation (2022) - M. Goldman - M. Novaga - B. Ruffini (
*Proc. Amer. Math. Soc.*)

Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions (2022) - S. Nardulli - A. Enrique Muñoz Flores (
*Journal of Dynamical and Control Systems*)

Generalized compactness for finite perimeter sets and applications to the isoperimetric problem (2022) - M. Colombo - A. De Rosa - A. Marchese (
*Calc. Var. Partial Differential Equations*)

Improved stability of optimal traffic paths (2018) - G. De Philippis - A. De Rosa - F. Ghiraldin (
*Comm. Pure App. Math.*)

Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies (2018) - C. De Lellis - A. De Rosa - F. Ghiraldin (
*Adv. Calc. Var.*)

A direct approach to the anisotropic Plateau's problem (2018) - A. De Rosa (
*SIAM J. Math. Anal.*)

Minimization of anisotropic energies in classes of rectifiable varifolds (2018) - G. De Philippis - A. De Rosa - F. Ghiraldin (
*Adv. in Math.*)

A direct approach to Plateau's problem in any codimension (2016) - A. De Rosa - S. Gioffrè (
*J. Geom. Anal.*)

Quantitative stability for anisotropic nearly umbilical hypersurfaces (2019) - M. Colombo - A. De Rosa - A. Marchese (
*J. Math. Pures Appl.*)

Stability for the mailing problem (2019) - G. De Philippis - A. De Rosa - F. Ghiraldin (
*J. Geom. Anal.*)

Existence results for minimizers of parametric elliptic functionals (2020) - A. De Rosa - S. Kolasiński (
*Comm. Pure App. Math.*)

Equivalence of the ellipticity conditions for geometric variational problems (2020) - A. De Rosa - S. Kolasiński - M. Santilli (
*Arch. Ration. Mech. Anal.*)

Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets (2020) - M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff (
*Discrete Contin. Dyn. Syst.*)

Stability of optimal traffic plans in the irrigation problem (2021) - A. De Rosa - S. Gioffrè (
*J. Reine Angew. Math.*)

Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces (2021) - M. Colombo - A. De Rosa - A. Marchese (
*Comm. Pure App. Math.*)

On the well-posedness of branched transportation (2021) - A. De Rosa - D. A. La Manna (
*Comm. Pure Appl. Anal.*)

A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties (2021) - G. Antonelli - D. Di Donato - S. Don - E. Le Donne (Accepted Paper:
*Annales de l'Institut Fourier*)

Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups (2020) - G. Antonelli - E. Le Donne (Accepted Paper:
*Annali di Matematica Pura ed Applicata (1923 - )*)

Polynomial and horizontally polynomial functions on Lie groups (2020) - A. Braides - A. Piatnitski (
*Arch. Rational Mech. Anal.*)

Homogenization of ferromagnetic energies on Poisson random sets in the plane (2022) - A. Bach - T. Esposito - R. Marziani - C. I. Zeppieri (Accepted Paper:
*AWM Volume - Research in the Mathematics of Materials Science*)

Interaction between oscillations and singular perturbations in a one-dimensional phase-field model (2022) - F. Giannetti - G. Stefani (Submitted Paper)

On the convex components of a set in $\mathbb{R}^n$ (2021) - A. Cesaroni - M. Novaga (Accepted Paper:
*Manuscripta Mathematica*)

Fractional mean curvature flow of Lipschitz graphs (2021) - L. Dello Schiavo - L. Portinale - F. Sau (preprint)

Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains (2021) - L. Freddi - P. Hornung - M. G. Mora - R. Paroni (Submitted Paper)

Stability of boundary conditions for the Sadowsky functional (2021) - C. De Lellis (Proceedings)

The regularity theory for the area functional (in geometric measure theory) (2021) - A. C. G. Mennucci (
*International Journal of Mathematics and Mathematical Sciences*)

Neighborhoods and manifolds of immersed curves (2021) - M. Bresciani - M. Kruzik (Submitted Paper)

A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity (2021) - M. Bresciani (
*Mathematical Models and Methods in Applied Sciences*)

Linearized von Kármán theory for incompressible magnetoelastic plates (2021) - M. Bresciani - E. Davoli - M. Kruzik (Accepted Paper:
*Annales de l'Institut Henri Poincaré / Analyse Nonlinéaire*)

Existence results in large-strain magnetoelasticity (2021) - D. Albritton - E. Bruè - M. Colombo - C. De Lellis - V. Giri - M. Janisch - H. Kwon (Submitted Paper)

Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik (2021) - I. Ftouhi (
*Comptes Rendus de l’Académie des Sciences*)

On a Polya's inequality for planar convex sets (2021) - J. F. Babadjian - F. Iurlano - A. Lemenant (Accepted Paper:
*J. Eur. Math. Soc.*)

Partial regularity for the crack set minimizing the two-dimensional Griffith energy (2019) - M. Bonacini - S. Conti - F. Iurlano (Accepted Paper:
*Arch. Ration. Math. Anal.*)

Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models (2020) - J. F. Babadjian - F. Iurlano - F. Rindler (Accepted Paper:
*Duke Math. J.*)

Shape optimization of light structures and the vanishing mass conjecture (2021) - V. Buffa - M. Miranda Jr (
*Annales Fennici Mathematici*)

Rough traces of $BV$ functions in metric measure spaces (2021) - V. Buffa - G. E. Comi - M. Miranda Jr (
*Rev. Mat. Iberoamericana*)

On $BV$ functions and essentially bounded divergence-measure fields in metric spaces (2021) - V. Buffa - M. Collins - C. Pacchiano Camacho (
*Manuscripta Math.*)

Existence of parabolic minimizers to the total variation flow on metric measure spaces (2022) - F. Ancona - A. Bressan - M. T. Chiri (Submitted Paper)

Soil searching by an artificial root (2020) - A. Bressan - M. T. Chiri - N. Salehi (Accepted Paper:
*Math. Models & Methods in the Applied Sciences*)

On the Optimal Control of Propagation Fronts (2021) - C. D'Onofrio - C. I. Zeppieri (Accepted Paper:
*Proc. Roy. Soc. Edinburgh Section A*)

$\Gamma$-convergence and stochastic homogenisation of degenerate integral functionals in weighted Sobolev spaces (2022)