On the best Sobolev trace constant and extremals in domains with holes
type: Item
instance of: scholarly article
title: On the best Sobolev trace constant and extremals in domains with holes
zbMATH Open document ID: 1115.35046
author: J. D. Rossi
author: Julián Fernández Bonder
author: Noemí Wolanski
published in: Bulletin des Sciences Mathématiques
publication date: 2007-02-20T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 5128461
zbMATH Keywords: Sobolev trace constant
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: eigenvalue optimization problems
zbMATH Keywords: \(p\)-capacity
MaRDI profile type: Publication
full work available at URL: j.bulsci.2005.10.005
OpenAlex ID: W2076715898
cites work: An Optimization Problem with Volume Constraint
cites work: Q4423250
cites work: Windows of given area with minimal heat diffusion
cites work: Q3134551
cites work: ASYMPTOTIC BEHAVIOR OF BEST CONSTANTS AND EXTREMALS FOR TRACE EMBEDDINGS IN EXPANDING DOMAINS1*
cites work: Symmetry properties for the extremals of the Sobolev trace embedding
cites work: The behavior of the best Sobolev trace constant and extremals in thin domains.
cites work: Existence results for the \(p\)-Laplacian with nonlinear boundary conditions
cites work: Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
cites work: Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant
cites work: Minimization problems for eigenvalues of the Laplacian.
cites work: Rearrangements and convexity of level sets in PDE
cites work: SYMMETRY AND SYMMETRY BREAKING FOR MINIMIZERS IN THE TRACE INEQUALITY
cites work: An optimization problem in elasticity
cites work: Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
cites work: Spherical symmetrization and eigenvalue estimates
cites work: Regularity for a more general class of quasilinear equations
cites work: A strong maximum principle for some quasilinear elliptic equations
DOI: 10.1016/J.BULSCI.2005.10.005
description: scientific article; zbMATH DE number 5128461