Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant
From MaRDI portal
Publication:3427503
DOI10.1137/040613615zbMath1134.35036OpenAlexW2021031783MaRDI QIDQ3427503
Julián Fernández Bonder, Julio D. Rossi, Noemí I. Wolanski
Publication date: 20 March 2007
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/040613615
Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Regularity of solutions in optimal control (49N60) Free boundary problems for PDEs (35R35)
Related Items
On the best Sobolev trace constant and extremals in domains with holes, The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case, An optimization problem in heat conduction with volume constraint and double obstacles, 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, A minimum problem with free boundary in Orlicz spaces, Estimates of the best Sobolev constant of the embedding of \(\mathrm{BV}(\Omega)\) into \(L^1(\partial \Omega)\) and related shape optimization problems, An optimization problem with volume constraint in Orlicz spaces, An optimization problem with volume constraint for a degenerate quasilinear operator, An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth, A constrained shape optimization problem in Orlicz-Sobolev spaces, Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach, A free boundary problem for the \(p(x)\)-Laplacian, Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue
