Regularity of shape optimizers for some spectral fractional problems

DOI10.1016/j.jfa.2021.109271zbMath1475.49052arXiv2104.12095OpenAlexW3203681279MaRDI QIDQ2235864

Giorgio Tortone

Publication date: 22 October 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12095

zbMATH Keywords

Dirichlet eigenvaluesshape optimizationviscosityfractional Laplacianimprovement of flatness

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Variational methods for eigenvalues of operators (49R05) Fractional partial differential equations (35R11)

Related Items (2)

A vectorial problem with thin free boundary ⋮ Global minimizers of coexistence for strongly competing systems involving the square root of the Laplacian

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