Local \(C^{0,\alpha }\) estimates for viscosity solutions of Neumann-type boundary value problems

DOI10.1016/j.jde.2005.09.004zbMath1147.35312arXiv0910.4721OpenAlexW2117513512MaRDI QIDQ2496728

Francesca Da Lio, Guy Barles

Publication date: 20 July 2006

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

Full work available at URL: https://arxiv.org/abs/0910.4721

zbMATH Keywords

elliptic equationsHölder regularityviscosity solutionsdegenerate equationslinear and nonlinear boundary conditionsregularity of solutions of partial differential equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (11)

Krylov and Safonov estimates for degenerate quasilinear elliptic PDEs ⋮ Mixed boundary value problems for fully nonlinear degenerate or singular equations ⋮ On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi equations ⋮ Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations ⋮ Oblique derivative problems for elliptic equations on conical domains ⋮ Homogenization of oblique boundary value problems ⋮ Large time behavior of solutions to parabolic equations with Neumann boundary conditions ⋮ Continuous dependence results for non-linear Neumann type boundary value problems ⋮ Forcing the system by a drift ⋮ On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions ⋮ Neumann homogenization via integro-differential operators

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