About Hölder-regularity of the convex shape minimizing λ2
DOI10.1080/00036811.2010.496361zbMath1209.49059arXiv1010.6239OpenAlexW75776632WikidataQ58246912 ScholiaQ58246912MaRDI QIDQ3081432
Publication date: 8 March 2011
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.6239
shape optimizationconformal mapeigenvalues of the Laplacianregularity of free boundariesconvex constraintoverdetermined boundary value problems
Estimates of eigenvalues in context of PDEs (35P15) Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (2) dimensions (including convex curves) (52A10) Boundary regularity of mappings in several complex variables (32H40)
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Cites Work
- Partially overdetermined elliptic boundary value problems
- Area minimizing sets subject to a volume constraint in a convex set
- Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions
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- Regularization of mixed second-order elliptic problems
- Counterexamples to symmetry for partially overdetermined elliptic problems
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