W2,p interior estimates of fully nonlinear elliptic equations

DOI10.1112/BLMS/BDV004zbMath1319.35054arXiv1901.06063OpenAlexW3101898186MaRDI QIDQ5245495

Kai Zhang, Dongsheng Li

Publication date: 8 April 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06063

zbMATH Keywords

viscosity solutionnonlinear elliptic equationCalderón-Zygmund decomposition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Perturbations in context of PDEs (35B20) Viscosity solutions to PDEs (35D40)

Related Items (7)

Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data ⋮ \(W^{2, \delta }\) estimates for solution sets of fully nonlinear elliptic inequalities on \(C^{1, \alpha }\) domains ⋮ Uniform integrability in periodic homogenization of fully nonlinear elliptic equations ⋮ Principal spectral curves for Lane-Emden fully nonlinear type systems and applications ⋮ Regularity theory for the Isaacs equation through approximation methods ⋮ \(W^{2,p}\)-estimates for fully nonlinear elliptic equations with oblique boundary conditions ⋮ On the inverse source identification problem in \(L^{\infty}\) for fully nonlinear elliptic PDE

Cites Work

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• Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type
• On the regularity theory of fully nonlinear parabolic equations: I
• Weighted norm inequalities for maximal functions and singular integrals
• On viscosity solutions of fully nonlinear equations with measurable ingredients

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