\(W^{2,p}\) estimates for solutions to asymptotically elliptic equations in nondivergence form

DOI10.1016/j.jde.2016.02.010zbMath1337.35050OpenAlexW2287647962MaRDI QIDQ267475

Lihe Wang, Sun-Sig Byun, Jehan Oh

Publication date: 8 April 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.02.010

zbMATH Keywords

viscosity solutionsfully nonlinear equations\(W^{2 p}\) estimatesasymptotically elliptic equationsasymptotically linear equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Viscosity solutions to PDEs (35D40)

Related Items (8)

Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity ⋮ Calderón-Zygmund estimates for the fully nonlinear obstacle problem with super-linear Hamiltonian terms and unbounded ingredients ⋮ Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications ⋮ Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators ⋮ Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity ⋮ Unnamed Item ⋮ Hessian estimates for fully nonlinear equations via the large-\(M\)-inequality principle ⋮ Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

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• Lipschitz regularity of solutions of some asymptotically convex problems

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