Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach
type: Item
instance of: scholarly article
title: Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach
zbMATH Open document ID: 1223.35245
author: Julián Fernández Bonder
author: Pablo Groisman
author: J. D. Rossi
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2007-08-07T00:00:00Z
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49Q10
zbMATH DE Number: 5177466
zbMATH Keywords: Steklov eigenvalues
zbMATH Keywords: Sobolev trace embedding
zbMATH Keywords: shape derivative
MaRDI profile type: Publication
full work available at URL: s10231-006-0009-y
OpenAlex ID: W2094315975
cites work: Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
cites work: Best constants in Sobolev trace inequalities
cites work: Q4423250
cites work: Q4162607
cites work: ASYMPTOTIC BEHAVIOR OF BEST CONSTANTS AND EXTREMALS FOR TRACE EMBEDDINGS IN EXPANDING DOMAINS1*
cites work: The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems
cites work: Q3818662
cites work: Symmetry properties for the extremals of the Sobolev trace embedding
cites work: Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
cites work: ON THE EXISTENCE OF EXTREMALS FOR THE SOBOLEV TRACE EMBEDDING THEOREM WITH CRITICAL EXPONENT
cites work: On the best Sobolev trace constant and extremals in domains with holes
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: Variation and optimization of formes. A geometric analysis
cites work: Perturbation theory for linear operators.
cites work: SYMMETRY AND SYMMETRY BREAKING FOR MINIMIZERS IN THE TRACE INEQUALITY
cites work: Q4342727
cites work: Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
cites work: Q3317635
cites work: Spherical symmetrization and eigenvalue estimates
DOI: 10.1007/S10231-006-0009-Y
description: scientific article; zbMATH DE number 5177466