TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS  

作　　者：黄飞敏 

机构地区：[1]Institute of Applied Mathematics,AMSS,Academia Sinica

出　　处：《Acta Mathematica Scientia》2009年第2期409-414,共6页数学物理学报（B辑英文版）

基　　金：supported in part by NSFC (10471138);NSFC-NSAF (10676037);973 project of China (2006CB805902)

摘　　要：In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded domain.In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded domain.

关 键 词：Hermite elliptic equation modified Sobolev space eigenvalue problem 

分 类 号：O175.25[理学—数学]