Elliptic gradient constraint problem

DOI10.1080/03605302.2016.1237962zbMath1359.35079OpenAlexW2522717932MaRDI QIDQ2955381

Hi Jun Choe, Phoui Souksomvang

Publication date: 25 January 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2016.1237962

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionobstacle problemgradient constraint\(C^{1,\alpha}\) regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Viscosity solutions to PDEs (35D40)

Related Items (4)

Level-set inequalities on fractional maximal distribution functions and applications to regularity theory ⋮ Double obstacle problems and fully nonlinear PDE with non-strictly convex gradient constraints ⋮ Variational and Quasi-Variational Inequalities with Gradient Type Constraints ⋮ Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perron's method for Hamilton-Jacobi equations
• Résolution de problèmes elliptiques quasilineaires
• Regularity of solutions of nonlinear variational inequalities with a gradient bound as constraint
• The Lipschitz character of the stress tensor, when twisting an elastic plastic bar
• On the variational inequalities for certain convex function classes
• Regularity of solutions of nonlinear variational inequalities
• Double obstacle problems with obstacles given by non-\(C^2\) Hamilton-Jacobi equations
• Linear and quasilinear elliptic equations
• Boundary regulatity and uniqueness for an elliptic equations with gradient constraint
• A second order elliptic equation with gradient constraint
• The C^1,1—character of solutions of second order elliptic equations with gradient constraint
• User’s guide to viscosity solutions of second order partial differential equations
• Elliptic Partial Differential Equations of Second Order

This page was built for publication: Elliptic gradient constraint problem