The mean curvature of a set of finite perimeter
From MaRDI portal
Publication:2970050
DOI10.1090/S0002-9939-1987-0870791-8zbMath1358.49041OpenAlexW2020754053MaRDI QIDQ2970050
Elisabetta Barozzi, Eduardo H. A. Gonzalez, Italo Tamanini
Publication date: 27 March 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-1987-0870791-8
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)
Related Items
1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ A note on convergence of solutions of total variation regularized linear inverse problems ⋮ A new functional for the calculus of variations, involving the variational mean curvature of sets in \(\mathbb R^n\) ⋮ On the generalized mean curvature ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Morrey's fractional integrals in Campanato-Sobolev's space and \(\operatorname{div}F=f\) ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ On sets with variational mean curvature in \(L^n(\mathbb{R}^n)\) ⋮ Lagrange multipliers and variational methods for equilibrium problems of fluids ⋮ Morrey spaces and generalized Cheeger sets ⋮ The logarithmic Sobolev capacity ⋮ Variational mean curvatures in abstract measure spaces ⋮ Regularity for solutions of the total variation denoising problem ⋮ The Dirichlet problem for singular elliptic equations with general nonlinearities ⋮ Penalty methods for minimal surfaces with obstacles ⋮ On the Regularity of Optimal Sets in Mass Transfer Problems ⋮ Pseudoconvex sets ⋮ Blow-up of oriented boundaries ⋮ Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains ⋮ The variational cost of the change of direction in a planar curve and application to regularity of 2-dimensional sets ⋮ Large solutions for the elliptic 1-Laplacian with absorption
