Regularity of the free boundary for the vectorial Bernoulli problem
From MaRDI portal
Publication:2174116
DOI10.2140/apde.2020.13.741zbMath1445.35342arXiv1804.09243OpenAlexW3098727812MaRDI QIDQ2174116
Dario Mazzoleni, Bozhidar Velichkov, Susanna Terracini
Publication date: 17 April 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09243
Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items (10)
Improvement of flatness for vector valued free boundary problems ⋮ Asymptotic behavior of the interface for entire vector minimizers in phase transitions ⋮ A vectorial problem with thin free boundary ⋮ Epsilon-regularity for the solutions of a free boundary system ⋮ A minimization problem with free boundary for \(p\)-Laplacian weakly coupled system ⋮ Entire minimizers of Allen-Cahn systems with sub-quadratic potentials ⋮ Nondegeneracy for stable solutions to the one-phase free boundary problem ⋮ Regularity of the optimal sets for the second Dirichlet eigenvalue ⋮ Regularity of shape optimizers for some spectral fractional problems ⋮ Existence and regularity of optimal shapes for elliptic operators with drift
Cites Work
- Unnamed Item
- A note on higher regularity boundary Harnack inequality
- Some remarks on stability of cones for the one-phase free boundary problem
- Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
- Regularity of the optimal sets for some spectral functionals
- Free boundary regularity for a problem with right hand side
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Harmonic measure on locally flat domains
- Partial regularity for a minimum problem with free boundary
- A minimization problem with free boundary related to a cooperative system
- Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian
- Stratification for the singular set of approximate harmonic maps
- Lipschitz regularity of the eigenfunctions on optimal domains
- An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case
- A singular energy minimizing free boundary
- Regularity for Shape Optimizers: The Nondegenerate Case
- Quantitative stratification for some free-boundary problems
- Global energy minimizers for free boundary problems and full regularity in three dimensions
- Regularity for Shape Optimizers: The Degenerate Case
This page was built for publication: Regularity of the free boundary for the vectorial Bernoulli problem
