Boundary behavior of solutions of elliptic equations in nondivergence form

DOI10.1007/s00229-013-0643-9zbMath1296.35051OpenAlexW2096080319MaRDI QIDQ2248953

Yongpan Huang, Lihe Wang, Dongsheng Li

Publication date: 27 June 2014

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

Full work available at URL: https://doi.org/10.1007/s00229-013-0643-9

zbMATH Keywords

regularityDirichlet problemHarnack inequalityviscosity solutionAleksandrov-Bakelman-Pucci maximum principlesecond order elliptic equationsbarrier

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Continuation and prolongation of solutions to PDEs (35B60) Viscosity solutions to PDEs (35D40)

Related Items (9)

Differentiability at lateral boundary for fully nonlinear parabolic equations ⋮ Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form ⋮ Boundary Lipschitz regularity and the Hopf lemma on Reifenberg domains for fully nonlinear elliptic equations ⋮ A note on boundary differentiability of solutions of elliptic equations in nondivergence form ⋮ Boundary Lipschitz regularity and the Hopf lemma for fully nonlinear elliptic equations ⋮ Boundary Hölder regularity for elliptic equations ⋮ Boundary Lipschitz regularity of solutions for semilinear elliptic equations in divergence form ⋮ Pointwise boundary differentiability of solutions of elliptic equations ⋮ Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations

Cites Work

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• Boundary first order derivative estimates for fully nonlinear elliptic equations
• Elliptic equations on convex domains with nonhomogeneous Dirichlet boundary conditions
• Boundary differentiability of solutions of elliptic equations on convex domains
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN
• The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
• On the regularity theory of fully nonlinear parabolic equations: II

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