Boundary differentiability of solutions of elliptic equations on convex domains

DOI10.1007/s00229-006-0032-8zbMath1194.35126OpenAlexW2052554511MaRDI QIDQ2433973

Lihe Wang, Dongsheng Li

Publication date: 31 October 2006

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

Full work available at URL: https://doi.org/10.1007/s00229-006-0032-8

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20)

Related Items (16)

Differentiability at lateral boundary for fully nonlinear parabolic equations ⋮ Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form ⋮ Global regularity for divergence form elliptic equations on quasiconvex domains ⋮ 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 ⋮ Pointwise boundary differentiability for the infinity Laplace equations ⋮ Boundary Lipschitz regularity of solutions for semilinear elliptic equations in divergence form ⋮ Counterexample to \(C^1\) boundary regularity of infinity harmonic functions ⋮ 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 ⋮ Elliptic equations on convex domains with nonhomogeneous Dirichlet boundary conditions ⋮ 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

• Unnamed Item
• \(L^ p\)-integrability of the second order derivatives of Green potentials in convex domains
• Schauder's existence theorem for alpha-Dini continuous data
• Barriers on cones for uniformly elliptic operators
• Lipschitz continuous solutions of elliptic equations of the form \({\mathcal A} (Du)D^ 2u = 0\)
• The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
• On Dirichlet’s Problem for Elliptic Equations in Sectionally Smooth n-Dimensional Domains
• On the boundary point principle for elliptic equations in the plane

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