Regularity of Lipschitz free boundaries for the thin one-phase problem

DOI10.4171/JEMS/531zbMath1329.35359arXiv1205.1755MaRDI QIDQ496449

Daniela De Silva, Ovidiu V. Savin

Publication date: 21 September 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1755

zbMATH Keywords

energy minimizersone-phase free boundary problemmonotonicity formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35)

Related Items (11)

Regularity of the free boundary for two-phase problems governed by divergence form equations and applications ⋮ On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian ⋮ Optimal design problems with fractional diffusions ⋮ A vectorial problem with thin free boundary ⋮ Graphical solutions to one-phase free boundary problems ⋮ The Alt–Phillips functional for negative powers ⋮ Nondegeneracy for stable solutions to the one-phase free boundary problem ⋮ Almost minimizers of the one-phase free boundary problem ⋮ Regularity of shape optimizers for some spectral fractional problems ⋮ Thin one-phase almost minimizers ⋮ Minimal surfaces and free boundaries: Recent developments

Cites Work

• Unnamed Item
• A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
• A two-phase problem with a lower-dimensional free boundary
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Variational problems with two phases and their free boundaries

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