Free boundary regularity for fully nonlinear non-homogeneous two-phase problems
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Publication:2253730
DOI10.1016/j.matpur.2014.07.006zbMath1342.35457OpenAlexW2962846473MaRDI QIDQ2253730
Fausto Ferrari, Sandro Salsa, Daniela De Silva
Publication date: 12 February 2015
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2014.07.006
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)
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Cites Work
- Unnamed Item
- Free boundary regularity for a problem with right hand side
- Fully nonlinear singularly perturbed equations and asymptotic free boundaries
- Boundary first order derivative estimates for fully nonlinear elliptic equations
- Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Existence of solutions of two-phase free boundary problems for fully nonlinear elliptic equations of second order
- Two-phase problems with distributed sources: regularity of the free boundary
- REGULARITY OF FREE BOUNDARIES OF TWO-PHASE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER. II. FLAT FREE BOUNDARIES ARE LIPSCHITZ
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Variational problems with two phases and their free boundaries
- Regularity of free boundaries of two‐phase problems for fully nonlinear elliptic equations of second order I. Lipschitz free boundaries are C1,
- Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
- Two-phase problems for a class of fully nonlinear elliptic operators: Lipschitz free boundaries are C 1,γ
- Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
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