A Free Boundary Problem Inspired by a Conjecture of De Giorgi
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Publication:4916395
DOI10.1080/03605302.2012.739672zbMath1302.35463arXiv1110.2672OpenAlexW2017900588MaRDI QIDQ4916395
Publication date: 22 April 2013
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.2672
Minimal surfaces and optimization (49Q05) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35) Entire solutions to PDEs (35B08) Ginzburg-Landau equations (35Q56)
Related Items (2)
Nontrivial solutions to Serrin's problem in annular domains ⋮ On a free boundary problem and minimal surfaces
Cites Work
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- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Rearrangements and convexity of level sets in PDE
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Entire solutions of the minimal surface equation
- On a conjecture of De Giorgi and some related problems
- Regularity of flat level sets in phase transitions
- Minimal varieties in Riemannian manifolds
- Minimal cones and the Bernstein problem
- A gradient bound for free boundary graphs
- Existence and regularity of monotone solutions to a free boundary problem
- Variational problems with two phases and their free boundaries
- Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
- Uniform convergence of a singular perturbation problem
- Phase transitions: Uniform regularity of the intermediate layers
- On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property
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