CPAA
Multi-valued solutions to a class of parabolic Monge-Ampère equations
Limei Dai
In this paper, we investigate the multi-valued solutions of a class of parabolic Monge-Ampère equation $-u_{t}\det(D^{2}u)=f$. Using the Perron method, we obtain the existence of finitely valued and infinitely valued solutions to the parabolic Monge-Ampère equations. We generalize the results of elliptic Monge-Ampère equations and Hessian equations.
keywords: Perron method multi-valued solutions Parabolic Monge-Ampère equations viscosity solutions existence.
CPAA
Entire solutions with asymptotic behavior of fully nonlinear uniformly elliptic equations
Limei Dai
In this paper, we use the Perron method to prove the existence of viscosity solutions with asymptotic behavior at infinity to fully nonlinear uniformly elliptic equations in $R^n$.
keywords: entire solutions asymptotic behavior. Fully nonlinear uniformly elliptic equations

Year of publication

Related Authors

Related Keywords

[Back to Top]