OPTIMIZATION PROBLEM FOR EXTREMALS OF THE TRACE INEQUALITY IN DOMAINS WITH HOLES
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Publication:3589644
DOI10.1142/S0219199710003920zbMath1196.35150arXiv0809.0246MaRDI QIDQ3589644
Publication date: 20 September 2010
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.0246
Optimality conditions for problems involving partial differential equations (49K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (2)
Optimal boundary holes for the Sobolev trace constant ⋮ An optimization problem for nonlinear Steklov eigenvalues with a boundary potential
Cites Work
- A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding
- Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach
- Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
- A strong maximum principle for some quasilinear elliptic equations
- On the perturbation of eigenvalues for the -Laplacian
- SYMMETRY AND SYMMETRY BREAKING FOR MINIMIZERS IN THE TRACE INEQUALITY
- Boundary regularity for solutions of degenerate elliptic equations
- A Picone's identity for the p-Laplacian and applications
- First Variations of the Best Sobolev Trace Constant with Respect to the Domain
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