Boundary Lipschitz regularity and the Hopf lemma on Reifenberg domains for fully nonlinear elliptic equations

DOI10.1007/s00229-020-01246-7zbMath1482.35061arXiv1912.11958OpenAlexW3088207906WikidataQ124818768 ScholiaQ124818768MaRDI QIDQ2664567

Wenxiu Xu, Kai Zhang, Yuanyuan Lian

Publication date: 17 November 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11958

zbMATH Keywords

nonlinear elliptic equationsviscosity solutionsReifenberg domainPucci operatorHopf lemmaLipscitz regularity

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 (5)

Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form ⋮ Uniform integrability in periodic homogenization of fully nonlinear elliptic equations ⋮ Regularity of viscosity solutions to fully nonlinear elliptic transmission problems ⋮ Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form ⋮ A convergent finite difference method for computing minimal Lagrangian graphs

Cites Work

• On \(C^1\), \(C^2\), and weak type-\((1,1)\) estimates for linear elliptic operators. II
• Regularized distance and its applications
• Elliptic partial differential equations of second order
• Regularity for fully nonlinear elliptic equations with oblique boundary conditions
• Boundary behavior of solutions of elliptic equations in nondivergence form
• Differentiability at lateral boundary for fully nonlinear parabolic equations
• User’s guide to viscosity solutions of second order partial differential equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
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