Regularity of almost minimizers with free boundary
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Publication:493189
DOI10.1007/s00526-014-0792-zzbMath1378.35337arXiv1306.2704OpenAlexW2040951853MaRDI QIDQ493189
Publication date: 11 September 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.2704
Regularity of solutions in optimal control (49N60) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Free boundary problems for PDEs (35R35)
Related Items (21)
Almost minimizers for a singular system with free boundary ⋮ Graphical solutions to one-phase free boundary problems ⋮ Free boundary regularity for almost-minimizers ⋮ A free boundary approach to shape optimization problems ⋮ Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold ⋮ One-phase free-boundary problems with degeneracy ⋮ Linear stability implies nonlinear stability for Faber-Krahn-type inequalities ⋮ An overview of almost minimizers of Bernoulli-type functionals ⋮ Nondegeneracy for stable solutions to the one-phase free boundary problem ⋮ Almost minimizers of the one-phase free boundary problem ⋮ Motion of sets by curvature and derivative of capacity potential ⋮ Thin one-phase almost minimizers ⋮ Quantitative stratification for some free-boundary problems ⋮ Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data ⋮ Almost minimizers for the thin obstacle problem ⋮ Free boundary regularity for a multiphase shape optimization problem ⋮ Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form ⋮ Regularity of the free boundary for the two-phase Bernoulli problem ⋮ Uniqueness of the blowup at isolated singularities for the Alt-Caffarelli functional ⋮ Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients ⋮ Branch points for (almost-)minimizers of two-phase free boundary problems
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- A singular energy minimizing free boundary
- Weakly Differentiable Functions
- Variational problems with two phases and their free boundaries
- Global energy minimizers for free boundary problems and full regularity in three dimensions
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