On the regularity of viscosity solutions of fully nonlinear elliptic equations

DOI10.1016/J.NA.2005.01.064zbMath1224.49039OpenAlexW2037760335MaRDI QIDQ999915

Jay Kovats

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.064

zbMATH Keywords

differential gamesviscosity solutionuniformly ellipticIsaacs equations

Mathematics Subject Classification ID

Differential games and control (49N70) Nonlinear elliptic equations (35J60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• On solving certain nonlinear partial differential equations by accretive operator methods
• Interior \(C^{2,\alpha}\) regularity theory for a class of nonconvex fully nonlinear elliptic equations.
• Stochastic differential games
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• SMOOTHNESS OF THE VALUE FUNCTION FOR A CONTROLLED DIFFUSION PROCESS IN A DOMAIN
• Viscosity Solutions of Hamilton-Jacobi Equations
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• Fully nonlinear elliptic equations and the dini condition
• Stochastic differential games and viscosity solutions of Isaacs equations
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