Global estimates of Hölder continuity for a class of divergente-form elliptic equations

DOI10.1007/BF00280971zbMath0295.35027OpenAlexW2007708577MaRDI QIDQ1213067

Leon Simon

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00280971

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (11)

Boundary behaviour of solutions of the non-parametric least area problem ⋮ Global regularity for solutions of the minimal surface equation with continuous boundary values ⋮ Boundary regularity for Quasi—Linear elliptic equations with continuous boundary data ⋮ Estimates for evolutionary surfaces of prescribed mean curvature ⋮ \(C^{1,\alpha }\) theory for the prescribed mean curvature equation with Dirichlet data ⋮ The Dirichlet problem for quasilinear elliptic equations with Hölder continuous boundary values ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ Continuity estimates for solutions to the prescribed-curvature Dirichlet problem ⋮ A Hölder estimate for quasiconformal maps between surfaces in Euclidean space ⋮ MINIMAL GRAPHS WITH DISCONTINUOUS BOUNDARY VALUES ⋮ Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem

Cites Work

• Unnamed Item
• Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations
• A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n Dimensions
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

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