AN OPTIMIZATION PROBLEM RELATED TO THE BEST SOBOLEV TRACE CONSTANT IN THIN DOMAINS

DOI10.1142/S0219199708002922zbMath1357.49027MaRDI QIDQ3542855

Julio D. Rossi, Carola-Bibiane Schönlieb, Julián Fernández Bonder

Publication date: 1 December 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Variational inequalities (49J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (1)

Optimal boundary holes for the Sobolev trace constant

Cites Work

• Unnamed Item
• Unnamed Item
• On the best Sobolev trace constant and extremals in domains with holes
• Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach
• Best constants in Sobolev trace inequalities
• Minimization problems for eigenvalues of the Laplacian.
• The behavior of the best Sobolev trace constant and extremals in thin domains.
• Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
• Symmetry properties for the extremals of the Sobolev trace embedding
• ASYMPTOTIC BEHAVIOR OF BEST CONSTANTS AND EXTREMALS FOR TRACE EMBEDDINGS IN EXPANDING DOMAINS1*
• SYMMETRY AND SYMMETRY BREAKING FOR MINIMIZERS IN THE TRACE INEQUALITY
• Basis properties of eigenfunctions of the 𝑝-Laplacian
• Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant

This page was built for publication: AN OPTIMIZATION PROBLEM RELATED TO THE BEST SOBOLEV TRACE CONSTANT IN THIN DOMAINS