Gradient bounds for elliptic problems singular at the boundary

DOI10.1007/s00205-011-0436-9zbMath1255.35116OpenAlexW2001160494MaRDI QIDQ715338

Tommaso Leonori, Alessio Porretta

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-011-0436-9

zbMATH Keywords

stochastic control problemssingular Hamilton-Jacobi equations

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Singular elliptic equations (35J75) PDEs in connection with control and optimization (35Q93)

Related Items (11)

On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary ⋮ Large solutions and gradient bounds for quasilinear elliptic equations ⋮ Gradient behaviour for large solutions to semilinear elliptic problems ⋮ Boundary regularity for viscosity solutions of nonlinear singular elliptic equations ⋮ Optimal boundary regularity for nonlinear singular elliptic equations ⋮ Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control ⋮ Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem ⋮ Mean field games under invariance conditions for the state space ⋮ A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations ⋮ A boundary expansion of solutions to nonlinear singular elliptic equations ⋮ Gradient estimates for singular fully nonlinear elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A weak Bernstein method for fully non-linear elliptic equations
• Résolution de problèmes elliptiques quasilineaires
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• Viscosity solutions of Hamilton-Jacobi equations
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• Boundary blow-up and degenerate equations
• Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy
• The Boundary Behavior of Blow-Up Solutions Related to a Stochastic Control Problem with State Constraint
• Elliptic equations with strongly singular lower order terms
• User’s guide to viscosity solutions of second order partial differential equations
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

This page was built for publication: Gradient bounds for elliptic problems singular at the boundary