Improvement of flatness for vector valued free boundary problems
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Publication:2128540
DOI10.3934/mine.2020027zbMath1487.35458arXiv1909.01290OpenAlexW3027554517MaRDI QIDQ2128540
Giorgio Tortone, Daniela De Silva
Publication date: 22 April 2022
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01290
Harnack inequalityviscosity solutionone-phase free boundary problemimprovement of flatnessvectorial problem
Free boundary problems for PDEs (35R35) Viscosity solutions to PDEs (35D40) Boundary value problems for second-order elliptic systems (35J57)
Related Items (5)
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 ⋮ Regularity of the optimal sets for the second Dirichlet eigenvalue ⋮ Regularity of shape optimizers for some spectral fractional problems
Cites Work
- Unnamed Item
- Unnamed Item
- Regularity in a one-phase free boundary problem for the fractional Laplacian
- Regularity of the optimal sets for some spectral functionals
- Free boundary regularity for a problem with right hand side
- Variational problems with free boundaries for the fractional Laplacian
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- A minimization problem with free boundary related to a cooperative system
- Regularity of the free boundary for the vectorial Bernoulli problem
- On two phase free boundary problems governed by elliptic equations with distributed sources
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Regularity for Shape Optimizers: The Nondegenerate Case
- Regularity for Shape Optimizers: The Degenerate Case
- A one-phase problem for the fractional Laplacian: regularity of flat free boundaries
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