Calculus of Variations & Geometric Measure Theory

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Antagonistic cost functionals in shape optimization

Beyond the classical Cauchy-Born rule

Concave Random Assignment Problem in One Dimension: Kantorovich Meets Young

Evolution of probability measures: beyond gradient flows

Free boundary regularity for the obstacle problem

Frobenius theorem for nonsmooth surfaces

Homogenisation of free discontinuity problems

Hyperbolic nonsmooth calculus

Local and global minimizers for a capillarity type problem

Mean value formulas for degenerate parabolic equations

Min-Max construction of anisotropic minimal surfaces

Numerical approximation of mean curvature flows using neural networks

On the apparent non-convexity of several generalizations of optimal transport

Phase Separation in Heterogeneous Media

Singular Weyl's law with Ricci curvature bounded below

Singularities of solutions to Hamilton-Jacobi equations: from PDE’s to topology, passing through geometric measure theory

Sobolev regularity of flows associated to vector fields with exponential or sub-exponential summability

Stable solutions to semilinear elliptic equations

The Riemannian Penrose inequality via nonlinear potential theory

Timelike Ricci bounds and Einstein's theory of gravity in a non smooth setting: an optimal transport approach

Variational approach for grain boundaries

Wassertein Sobolev spaces: numerics and deep learning over P2

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12/06/2023

13/06/2023

14/06/2023

15/06/2023

16/06/2023

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