MULTIPLE SOLUTIONS FOR SCHRDINGER EQUATIONS WITH MAGNETIC FIELD  

作　　者：彭超权 杨健夫 

机构地区：[1]College of Computer, South-Central University for Nationalities [2]Department of Mathematics, Jiangxi Normal University

出　　处：《Acta Mathematica Scientia》2009年第5期1323-1340,共18页数学物理学报（B辑英文版）

基　　金：supported by NSF of South-Central University for Nation-alities (yzz08001);supported by NNSF of China (10571175 and 10631030)

摘　　要：The authors consider the semilinear SchrSdinger equation -△Au＋Vλ（x）u= Q（x）｜u｜γ-2u in R^N, where 1 〈 γ 〈 2＊ and γ≠ 2, Vλ= V^＋ -λV^-. Exploiting the relation between the Nehari manifold and fibrering maps, the existence of nontrivial solutions for the problem is discussed.The authors consider the semilinear SchrSdinger equation -△Au＋Vλ（x）u= Q（x）｜u｜γ-2u in R^N, where 1 〈 γ 〈 2＊ and γ≠ 2, Vλ= V^＋ -λV^-. Exploiting the relation between the Nehari manifold and fibrering maps, the existence of nontrivial solutions for the problem is discussed.

关 键 词：Nehari manifold fibrering maps Schrodinger equation 

分 类 号：O175.29[理学—数学]