Free boundary regularity for a multiphase shape optimization problem

DOI10.1080/03605302.2019.1658773zbMath1430.35279arXiv1810.06963OpenAlexW2990038858MaRDI QIDQ5207791

Bozhidar Velichkov, Baptiste Trey, Luca Spolaor

Publication date: 13 January 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06963

zbMATH Keywords

Dirichlet eigenvaluesshape optimizationvariable coefficientsepiperimetric inequalityregularity of free boundaryAlt-Caffarelli energy functionaltwo-phase problemone-phase problemalmost-minimizermultiphase problemAlt-Caffarelli-Friedman energy functional

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Eigenvalue problems for linear operators (47A75) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)

Related Items (7)

Regularity of almost-minimizers of Hölder-coefficient surface energies ⋮ Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals ⋮ Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold ⋮ An overview of almost minimizers of Bernoulli-type functionals ⋮ Regularity of the optimal sets for the second Dirichlet eigenvalue ⋮ Existence and regularity of optimal shapes for elliptic operators with drift ⋮ Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients

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