Existence of optimal shapes under a uniform ball condition for geometric functionals involving boundary value problems

DOI10.1051/cocv/2020026zbMath1459.49026OpenAlexW3022711712MaRDI QIDQ5854401

Jérémy Dalphin

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2020026

zbMATH Keywords

shape optimizationelliptic partial differential equationsexistence theorygeometric functionalsuniform ball conditionboundary shape identification problems

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Surfaces in Euclidean and related spaces (53A05) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Shapes and Geometries
• Curvature Measures
• Some characterizations of a uniform ball property
• Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions
• Shape optimization by the homogenization method

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