Viscosity Solutions of Nonlinear Systems of Degenerated Elliptic Equations of Second Order
Copyright policy )Viscosity Solutions of Nonlinear Systems of Degenerated Elliptic Equations of Second Order
In this paper, we discuss the viscosity solutions of Dirichiet problem for weakly coupled systems of fully nonlinear second order degenerated elliptic equations. We prove the existence, uniqueness and continuity of solutions by Perron’s method combined with the technique of coupled solutions. Our results generalize those in [9] for the case of general quasi-monotonic systems.
- Wuhan University China (People's Republic of)
Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, Smoothness and regularity of solutions to PDEs, Perron's method, coupled solution, General existence and uniqueness theorems (PDE), Degenerate elliptic equations, fully nonlinear degenerated elliptic equations, Systems of elliptic equations, boundary value problems, quasi-monotonic systems
Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, Smoothness and regularity of solutions to PDEs, Perron's method, coupled solution, General existence and uniqueness theorems (PDE), Degenerate elliptic equations, fully nonlinear degenerated elliptic equations, Systems of elliptic equations, boundary value problems, quasi-monotonic systems
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