Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
From MaRDI portal
Publication:2683744
DOI10.1007/s00526-023-02438-1OpenAlexW3133776804MaRDI QIDQ2683744
Massimiliano Morini, Nicola Fusco
Publication date: 15 February 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.03299
minimization problemisoperimetric inequalityconvex setrelative isoperimetric inequalityperimeter minimizer
Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimality via second variation for a nonlocal isoperimetric problem
- Area minimizing sets subject to a volume constraint in a convex set
- The strong maximum principle revisited.
- Uniform ball property and existence of optimal shapes for a wide class of geometric functionals
- Functionals depending on curvatures with constraints
- A selection principle for the sharp quantitative isoperimetric inequality
- Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
- The relative isoperimetric inequality outside convex domains in \(\mathbb{R}^{n}\)
- Alexandrov's theorem revisited
- Total positive curvature of hypersurfaces with convex boundary
- Sets of Finite Perimeter and Geometric Variational Problems
- Isoperimetric inequalities in unbounded convex bodies
This page was built for publication: Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains