A shape optimization problem for Steklov eigenvalues in oscillating domains

DOI10.1051/cocv/2015050zbMath1362.35198arXiv1504.00239OpenAlexW2235309439MaRDI QIDQ2968789

Juan F. Spedaletti, Julián Fernández Bonder

Publication date: 22 March 2017

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00239

zbMATH Keywords

shape optimizationSteklov eigenvaluesgamma convergenceoscillating domains

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Variational methods for eigenvalues of operators (49R05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
• Optimal boundary holes for the Sobolev trace constant
• The best Sobolev trace constant in a domain with oscillating boundary
• Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach
• Variation and optimization of formes. A geometric analysis
• Windows of given area with minimal heat diffusion
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions

This page was built for publication: A shape optimization problem for Steklov eigenvalues in oscillating domains