Regularity for degenerate two-phase free boundary problems

DOI10.1016/j.anihpc.2014.03.004zbMath1456.35235arXiv1101.5268OpenAlexW2074510401MaRDI QIDQ494134

Eduardo V. Teixeira, Olivaine S. de Queiroz, Raimundo A. Leitão

Publication date: 31 August 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5268

zbMATH Keywords

heterogeneous cavitation problems of Prandtl-Batchelor typeobstacle type systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75)

Related Items (10)

Asymptotic behavior of the interface for entire vector minimizers in phase transitions ⋮ Domain variation solutions for degenerate two phase free boundary problems ⋮ Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces ⋮ Sharp regularity for singular obstacle problems ⋮ A limit case in non-isotropic two-phase minimization problems driven by \(p\)-Laplacians ⋮ A free boundary optimization problem for the \(\infty\)-Laplacian ⋮ On the Lipschitz regularity and asymptotic behaviour of the free boundary for classes of minima of inhomogeneous two-phase alt-caffarelli functionals in Orlicz spaces ⋮ A non-isotropic free transmission problem governed by quasi-linear operators ⋮ Free transmission problems ⋮ A free boundary problem with subcritical exponents in Orlicz spaces

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