A gradient bound for free boundary graphs
From MaRDI portal
Publication:3168880
DOI10.1002/cpa.20354zbMath1216.35179arXiv1009.4694OpenAlexW2094061769MaRDI QIDQ3168880
Daniela De Silva, David S. Jerison
Publication date: 27 April 2011
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.4694
Free boundary problems for PDEs (35R35) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items
Graphical solutions to one-phase free boundary problems, Free boundary regularity for almost-minimizers, Parabolic NTA domains in ℝ2, Some remarks on stability of cones for the one-phase free boundary problem, On a free boundary problem and minimal surfaces, A Free Boundary Problem Inspired by a Conjecture of De Giorgi, The two hyperplane conjecture
Cites Work
- Unnamed Item
- Unnamed Item
- Bernstein-type techniques for 2D free boundary graphs
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- A geometric localization theorem
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Minimal cones and the Bernstein problem
- Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
- Harnack's inequality for elliptic differential equations on minimal surfaces
- Existence and regularity of monotone solutions to a free boundary problem
- A singular energy minimizing free boundary
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Analyticity at the boundary of solutions of nonlinear second-order parabolic equations