Density lower bound estimate for local minimizer of free interface problem with volume constraint

DOI10.1007/s11587-018-0407-7zbMath1430.49038OpenAlexW2808231100MaRDI QIDQ2281520

Luca Esposito

Publication date: 3 January 2020

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-018-0407-7

zbMATH Keywords

regularityfree boundary problemvolume constraintperimeter penalization

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)

Related Items (3)

Regularity results for an optimal design problem with lower order terms ⋮ Regularity results for a free interface problem with Hölder coefficients ⋮ A regularity result for minimal configurations of a free interface problem

Cites Work

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• $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
• Regularity results for an optimal design problem with a volume constraint
• Non-Lipschitz minimizers of smooth uniformly convex functionals
• Disintegration of water drops in an electric field
• Regularity properties of free discontinuity sets
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