Balls minimize trace constants in BV

DOI10.1515/crelle-2014-0098zbMath1373.46025arXiv1301.5770OpenAlexW2962687487MaRDI QIDQ521670

Cristina Trombetti, Carlo Nitsch, Vincenzo Ferone, Andrea Cianchi

Publication date: 11 April 2017

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5770

zbMATH Keywords

Hausdorff measureadmissible domainoptimal constants in inequalitiesPoincaré trace inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization ⋮ The sharp affine \(L^2\) Sobolev trace inequality and variants ⋮ \(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation ⋮ The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems ⋮ The affine Orlicz Pólya-Szegő principle on \(BV(\Omega )\) ⋮ On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue ⋮ Escobar constants of planar domains

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