Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms

DOI10.1016/j.jmaa.2011.03.009zbMath1221.35172arXiv1010.0105OpenAlexW2962788357MaRDI QIDQ541237

Olivier Ley, Shigeaki Koike

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0105

zbMATH Keywords

viscosity solutioncomparison principlegrowth conditionssystems of PDEnonconvex Hamiltonians

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40) Comparison principles in context of PDEs (35B51)

Related Items (8)

Regularity properties in a state-constrained expected utility maximization problem ⋮ Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term ⋮ A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group ⋮ Exploratory HJB Equations and Their Convergence ⋮ Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations ⋮ Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry ⋮ Strong comparison principles for some nonlinear degenerate elliptic equations ⋮ Viscosity solutions of general viscous Hamilton-Jacobi equations

Cites Work

• Viscosity solutions of Hamilton-Jacobi equations
• Bounded from below viscosity solutions of Hamilton-Jacobi equations
• A beginner's guide to the theory of viscosity solutions
• Uniqueness Results for Second-Order Bellman--Isaacs Equations under Quadratic Growth Assumptions and Applications
• Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in rⁿ
• Viscosity solutions for monotone systems of second–order elliptic PDES
• User’s guide to viscosity solutions of second order partial differential equations
• Min-Max Characterization of a Small Noise Limit on Risk-Sensitive Control
• Comparison results for hamilton-jacobi equations without grwoth condition on solutions from above
• A quasilinear elliptic equation in ℝ^N
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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