Rigidity for measurable sets
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Publication:2685681
DOI10.1016/j.aim.2023.108862OpenAlexW3129843047MaRDI QIDQ2685681
Publication date: 22 February 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.12389
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Rigidity results (53C24) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
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- Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
- Essential connectedness and the rigidity problem for Gaussian symmetrization
- Integral invariants for robust geometry processing
- Nonlocal curvature flows
- Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
- The cross covariogram of a pair of polygons determines both polygons, with a few exceptions
- Symmetry and related properties via the maximum principle
- Curves and surfaces with constant nonlocal mean curvature: meeting Alexandrov and Delaunay
- Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature
- Matzoh ball soup: Heat conductors with a stationary isothermic surface
- Cases of equality in the Riesz rearrangement inequality
- Random Steiner symmetrizations of sets and functions
- Maximization of the second non-trivial Neumann eigenvalue
- Alexandrov theorem for general nonlocal curvatures: the geometric impact of the kernel
- Near equality in the Riesz-Sobolev inequality
- The uniqueness of the helicoid
- Alexandrov's theorem revisited
- A symmetry problem in potential theory
- Characterization of ellipsoids as K-dense sets
- Convergence in shape of Steiner symmetrizations
- Sets of Finite Perimeter and Geometric Variational Problems
- Stationary isothermic surfaces and uniformly dense domains
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Nonlocal minimal surfaces
- Integral Invariants and Shape Matching
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- The volume of the intersection of a convex body with its translates
- Mean Curvature and Asymptotic Volume of Small Balls
- Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
- Characterizations of the mean curvature and a problem of G. Cimmino
- Proof of spherical flocking based on quantitative rearrangement inequalities
- On the method of moving planes and the sliding method
- A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V
- Connected components of sets of finite perimeter and applications to image processing
