Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
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Publication:4545137
DOI10.1512/iumj.2001.50.1921zbMath1037.35104OpenAlexW2087976269MaRDI QIDQ4545137
Publication date: 14 August 2002
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2001.50.1921
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)
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Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics ⋮ Regularity of the free boundary in two-phase problems for linear elliptic operators ⋮ Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients ⋮ Domain variation solutions for degenerate two phase free boundary problems ⋮ Regularity of Lipschitz free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ Regularity of interfaces for a Pucci type segregation problem ⋮ Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy ⋮ Regularity of flat free boundaries in two-phase problems for the \(p\)-Laplace operator ⋮ Free boundary regularity for a problem with right hand side ⋮ The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations ⋮ Fully nonlinear singularly perturbed equations and asymptotic free boundaries ⋮ On two phase free boundary problems governed by elliptic equations with distributed sources ⋮ Regularity of Lipschitz free boundaries in two-phase problems for the \(p\)-Laplace operator ⋮ Optimal regularity for phase transition problems with convection ⋮ Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ Subsolutions of elliptic operators in divergence form and application to two-phase free boundary problems ⋮ Symmetry theorems and uniform rectifiability ⋮ Two-phase free boundary problems: from existence to smoothness ⋮ Free boundary regularity for fully nonlinear non-homogeneous two-phase problems ⋮ Regularity of the Solutions for Parabolic Two-Phase Free Boundary Problems ⋮ Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations ⋮ Free boundary theory for non-homogeneous fully non-linear equations with unbounded ingredients and quadratic growth in the gradient ⋮ Full and partial regularity for a class of nonlinear free boundary problems ⋮ Regularity of the Free Boundary in Problems with Distributed Sources ⋮ Estimates for Dirichlet-to-Neumann maps as integro-differential operators ⋮ Recent results on nonlinear elliptic free boundary problems
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