Uniform density estimates and \(\Gamma \)-convergence for the Alt-Phillips functional of negative powers

DOI10.3934/mine.2023086arXiv2205.08436MaRDI QIDQ6195632

Daniela De Silva, Ovidiu V. Savin

Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.08436

zbMATH Keywords

minimal surfacesuniform estimatesfree boundary problemsDirichlet-perimeter functional

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Variational problems in a geometric measure-theoretic setting (49Q20) Free boundary problems for PDEs (35R35)

Cites Work

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• Asymptotics of the \(s\)-perimeter as \(s \searrow 0\)
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• Gamma-convergence of nonlocal perimeter functionals
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• Plane-like minimizers in periodic media: jet flows and Ginzburg-Landau-type functionals
• Uniform convergence of a singular perturbation problem
• Density Estimates for a Degenerate/Singular Phase-Transition Model
• The Alt–Phillips functional for negative powers