Boundary pointwise \(C^{1, \alpha }\) and \(C^{2, \alpha }\) regularity for fully nonlinear elliptic equations

DOI10.1016/j.jde.2020.01.006zbMath1436.35061arXiv1901.06060OpenAlexW3000589852WikidataQ126344470 ScholiaQ126344470MaRDI QIDQ1989432

Kai Zhang, Yuanyuan Lian

Publication date: 22 April 2020

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

Full work available at URL: https://arxiv.org/abs/1901.06060

zbMATH Keywords

viscosity solutionboundary regularitySchauder estimatefully nonlinear elliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40)

Related Items

\(W^{2, \delta }\) estimates for solution sets of fully nonlinear elliptic inequalities on \(C^{1, \alpha }\) domains, Uniform integrability in periodic homogenization of fully nonlinear elliptic equations, \(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations, Boundary pointwise regularity and applications to the regularity of free boundaries, \(W^{2,p}\) estimates for elliptic equations on \(C^{1,\alpha}\) domains, Regularity of viscosity solutions to fully nonlinear elliptic transmission problems, Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form, A note on the BMO and Calderón-Zygmund estimate, Pointwise regularity for fractional equations, Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations, Interior pointwise \(C^{2 , \alpha}\) regularity for fully nonlinear elliptic equations

Cites Work

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• Elliptic partial differential equations of second order
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• Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations
• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
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