On Certain Degenerate One-phase Free Boundary Problems

DOI10.1137/19M1308128zbMath1464.35129arXiv1912.06551OpenAlexW3123232376MaRDI QIDQ5147561

Daniela De Silva, Ovidiu V. Savin

Publication date: 27 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06551

zbMATH Keywords

regularityexistencedegenerate one-phase free boundary problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

On the regularity of optimal transports between degenerate densities ⋮ The Alt–Phillips functional for negative powers ⋮ Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents

Cites Work

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• The obstacle problem revisited
• Nonlinear elliptic equations with mixed singularities
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Small Perturbation Solutions for Elliptic Equations
• Quasi-Harnack inequality

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