Fully nonlinear singularly perturbed equations and asymptotic free boundaries
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Publication:639531
DOI10.1016/j.jfa.2011.05.015zbMath1261.35059OpenAlexW2048526977MaRDI QIDQ639531
Gleydson C. Ricarte, Eduardo V. Teixeira
Publication date: 22 September 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2011.05.015
Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Singular elliptic equations (35J75)
Related Items (21)
An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian ⋮ Sharp Hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach ⋮ Inhomogeneous minimization problems for the \(p(x)\)-Laplacian ⋮ Geometric approach to nonvariational singular elliptic equations ⋮ Fully nonlinear singularly perturbed models with non-homogeneous degeneracy ⋮ Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries ⋮ Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy ⋮ Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications ⋮ Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy ⋮ Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators ⋮ Singular perturbation method for inhomogeneous nonlinear free boundary problems ⋮ Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ Nonlinear elliptic equations with mixed singularities ⋮ Singularly perturbed equations of degenerate type ⋮ Free boundary regularity for fully nonlinear non-homogeneous two-phase problems ⋮ Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form ⋮ Regularity estimates for fully non linear elliptic equations which are asymptotically convex ⋮ Singularly perturbed fully nonlinear parabolic problems and their asymptotic free boundaries ⋮ Cavity type problems ruled by infinity Laplacian operator ⋮ An asymptotic treatment for non-convex fully nonlinear elliptic equations: Global Sobolev and BMO type estimates ⋮ Cavity problems in discontinuous media
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