The nonlinear oblique derivative problem for quasilinear elliptic equations

DOI10.1016/0362-546X(84)90027-0zbMath0541.35032MaRDI QIDQ3327009

Gary M. Lieberman

Publication date: 1984

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

zbMATH Keywords

quasilinear elliptic equationsnonlinear boundary conditionsnonlinear oblique derivative problems

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

Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation, Regularity of solutions of nonlinear elliptic boundary value problems., A new proof of gradient estimates for mean curvature equations with oblique boundary conditions, Regularity theory for a class of quasilinear equations, Boundary-value problems for singular \(p\)- and \(p(x)\)- Laplacian equations in a domain with conical point on the boundary, On The Hölder Gradient Estimate For Solutions Of Nonlinear Elliptic And Parabolic Oblique Boundary Value Problems, Approximation of a quasilinear elliptic equation with nonlinear boundary condition, Regularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning Problem, Classical and weak solutions to local first-order mean field games through elliptic regularity, Gradient estimates of mean curvature equations with Neumann boundary value problems, Supersonic flow onto a solid wedge, Gradient bounds for solutions of nonuniformly elliptic oblique derivative problems, Gradient estimates for capillary-type problems via the maximum principle, Pointwise estimates for oblique derivative problems in nonsmooth domains, Periodic traveling gravity water waves with discontinuous vorticity, Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations, Behaviour of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighbourhood of a boundary conical point, Solvability of quasilinear elliptic equations with nonlinear boundary conditions. II, Regularizing effects of the entropy functional in optimal transport and planning problems, Classical solutions to local first-order extended mean field games

Cites Work

• Sur les problèmes aux limites du type dérivée oblique
• Sui problemi di derivata obliqua per le equazioni ellittiche
• Intermediate Schauder estimates
• The conormal derivative problem for elliptic equations of variational type
• On capillary free surfaces in a gravitational field
• Boundary value problems for surfaces of prescribed mean curvature
• Sulla hölderianita delle soluzioni dei problemi di derivata obliqua regolare del secondo ordine
• Sui problemi di derivata obliqua per le equazioni ellittiche quasi lineari
• Solvability of Quasilinear Elliptic Equations with Nonlinear Boundary Conditions
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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