Title :
Existence of Solutions with Asymptotic Behavior of Exterior Problems of Fully Nonlinear Uniformly Elliptic Equations
Author_Institution :
Sch. of Math. & Inf. Sci., Weifang Univ., Weifang, China
Abstract :
In this paper, we studied the viscosity solutions of fully nonlinear uniformly elliptic equations. First, we constructed a viscosity sub solution of the equations. Then, we used the Perron method to prove the existence of viscosity solutions with asymptotic behavior at infinity to the equations.
Keywords :
elliptic equations; nonlinear equations; Perron method; asymptotic behavior; fully nonlinear uniformly elliptic equation; viscosity sub-solution; Educational institutions; Eigenvalues and eigenfunctions; Indexes; Nonlinear equations; Viscosity; Fully nonlinear; asymptotic behavior; uniformly elliptic equations;
Conference_Titel :
Knowledge Acquisition and Modeling (KAM), 2011 Fourth International Symposium on
Conference_Location :
Sanya
Print_ISBN :
978-1-4577-1788-8
DOI :
10.1109/KAM.2011.63
