Regularity of minimizers of shape optimization problems involving perimeter

DOI10.1016/j.matpur.2017.05.021zbMath1381.49044arXiv1605.06294OpenAlexW2963979789MaRDI QIDQ1685056

Bozhidar Velichkov, Guido De Philippis, Michel Pierre, Jimmy Lamboley

Publication date: 13 December 2017

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06294

zbMATH Keywords

regularityshape optimizationDirichlet energyspectral functional

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)

Related Items (6)

Regularity of all minimizers of a class of spectral partition problems ⋮ On some variational problems involving capacity, torsional rigidity, perimeter and measure ⋮ Regularity in shape optimization under convexity constraint ⋮ Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls ⋮ Implicit time discretization for the mean curvature flow of mean convex sets ⋮ Phase-field methods for spectral shape and topology optimization

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