On the best Sobolev trace constant and extremals in domains with holes

DOI10.1016/j.bulsci.2005.10.005zbMath1115.35046OpenAlexW2076715898MaRDI QIDQ865891

Julio D. Rossi, Noemí I. Wolanski, Julián Fernández Bonder

Publication date: 20 February 2007

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2005.10.005

zbMATH Keywords

\(p\)-Laplacian\(p\)-capacityeigenvalue optimization problemsSobolev trace constant

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Some optimization problems for \(p\)-Laplacian type equations, The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case, Some nonlocal optimal design problems, The best Sobolev trace constant in domains with holes for critical or subcritical exponents, Optimal boundary holes for the Sobolev trace constant, AN OPTIMIZATION PROBLEM RELATED TO THE BEST SOBOLEV TRACE CONSTANT IN THIN DOMAINS, Estimates for the Sobolev trace constant with critical exponent and applications, An optimization problem for nonlinear Steklov eigenvalues with a boundary potential, Estimates of the best Sobolev constant of the embedding of \(\mathrm{BV}(\Omega)\) into \(L^1(\partial \Omega)\) and related shape optimization problems, A constrained shape optimization problem in Orlicz-Sobolev spaces, Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach

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