Elliptic equations on convex domains with nonhomogeneous Dirichlet boundary conditions

DOI10.1016/j.jde.2008.12.007zbMath1168.35017OpenAlexW2046826034MaRDI QIDQ1007254

Dongsheng Li, Lihe Wang

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.12.007

zbMATH Keywords

differentiabilityDirichlet boundary conditionsconvex domainelliptic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (15)

Differentiability at lateral boundary for fully nonlinear parabolic equations ⋮ Slope estimate and boundary differentiability of infinity harmonic functions on convex domains ⋮ Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form ⋮ A note on boundary differentiability of solutions of elliptic equations in nondivergence form ⋮ The differentiability of solutions for elliptic equations which degenerate on part of the boundary of a convex domain ⋮ On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation ⋮ Boundary Lipschitz regularity of solutions for semilinear elliptic equations in divergence form ⋮ Boundary first order derivative estimates for fully nonlinear elliptic equations ⋮ Lateral boundary differentiability of solutions of parabolic equations on cylindrical convex domains ⋮ Boundary behavior of solutions of elliptic equations in nondivergence form ⋮ Unnamed Item ⋮ Pointwise boundary differentiability of solutions of elliptic equations ⋮ On the existence and stability of 2-D perturbed steady subsonic circulatory flows ⋮ Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case ⋮ Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations

Cites Work

• Boundary differentiability of solutions of elliptic equations on convex domains
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