A note on boundary differentiability of solutions of elliptic equations in nondivergence form

DOI10.1007/s00229-019-01132-xzbMath1444.35045OpenAlexW2955385453WikidataQ127598105 ScholiaQ127598105MaRDI QIDQ2188925

Lihe Wang, Yongpan Huang, Dongsheng Li

Publication date: 15 June 2020

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

Full work available at URL: https://doi.org/10.1007/s00229-019-01132-x

zbMATH Keywords

elliptic equationsboundary differentiabilitynon-divergence formHopf-Oleinik lemmaReifenberg-Dini condition

Mathematics Subject Classification ID

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

Related Items (3)

Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form ⋮ Boundary Lipschitz regularity of solutions for semilinear elliptic equations in divergence form ⋮ Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations

Cites Work

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• Boundary differentiability of solutions of elliptic equations on convex domains
• A Centennial of the Zaremba–Hopf–Oleinik Lemma
• The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
• On the regularity theory of fully nonlinear parabolic equations: II
• Fully nonlinear elliptic equations and the dini condition
• Sharp results for the regularity and stability of the free boundary in the obstacle problem

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