Gradient estimates for elliptic oblique derivative problems via the maximum principle

zbMath1466.35116MaRDI QIDQ2025727

Gary M. Lieberman

Publication date: 14 May 2021

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

Full work available at URL: https://projecteuclid.org/euclid.ade/1605150120

zbMATH Keywords

oblique derivative problemsgradient boundcapillary equationfalse mean curvature equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with mean curvature operator (35J93)

Cites Work

• Regularized distance and its applications
• The conormal derivative problem for elliptic equations of variational type
• Elliptic partial differential equations of second order
• Gradient estimates for singular fully nonlinear elliptic equations
• Estimate for the Gradient of the Solution to the Neumann Problem for (p,q)-Nonlinear Equations
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• Gradient bounds for solutions of nonuniformly elliptic oblique derivative problems
• Maximum principle gradient estimates for the capillary problem
• Gradient estimates for capillary-type problems via the maximum principle
• Oblique Derivative Problems for Elliptic Equations
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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