Gradient bounds for solutions of nonuniformly elliptic oblique derivative problems

DOI10.1016/0362-546X(87)90025-3zbMath0644.35043OpenAlexW2061084706MaRDI QIDQ3786828

Gary M. Lieberman

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90025-3

zbMATH Keywords

maximum principlestrong solutionsinterior estimatesquasilinear boundary value problemglobal estimatenon-uniformly ellipticnonlinear oblique boundary operatorpointwise interior and boundary gradient estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)

Related Items (6)

A new proof of gradient estimates for mean curvature equations with oblique boundary conditions ⋮ Gradient estimates of mean curvature equations with Neumann boundary value problems ⋮ Gradient estimates for capillary-type problems via the maximum principle ⋮ Gradient estimates for elliptic oblique derivative problems via the maximum principle ⋮ Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularized distance and its applications
• Intermediate Schauder estimates
• The conormal derivative problem for elliptic equations of variational type
• Boundary value problems for surfaces of prescribed mean curvature
• Linear and quasilinear elliptic equations
• The nonlinear oblique derivative problem for quasilinear elliptic equations
• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

This page was built for publication: Gradient bounds for solutions of nonuniformly elliptic oblique derivative problems