An asymptotic treatment for non-convex fully nonlinear elliptic equations: Global Sobolev and BMO type estimates

DOI10.1142/S0219199718500530zbMath1428.35127OpenAlexW2883979298MaRDI QIDQ5237231

João Vítor da Silva, Gleydson C. Ricarte

Publication date: 17 October 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199718500530

zbMATH Keywords

fully nonlinear elliptic equationsglobal \(W^{2,p}\) and BMO type estimatesrelaxed convexity assumptions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items

Fully nonlinear singularly perturbed models with non-homogeneous degeneracy, 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, Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications, The obstacle problem for a class of degenerate fully nonlinear operators, Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients

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