INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY  

作　　者：曹道民 严树森 

机构地区：[1]Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences [2]Department of Mathematics, The University of New England

出　　处：《Acta Mathematica Scientia》2010年第6期2017-2032,共16页数学物理学报（B辑英文版）

基　　金：supported by Key Project (10631030) of NSFC;Knowledge Innovation Funds of CAS in China;supported by ARC in Australia

摘　　要：We study the following elliptic problem：{-div（a（x）Du）=Q（x）｜u｜2-2u＋λu x∈Ω,u=0 onδΩ Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.We study the following elliptic problem：{-div（a（x）Du）=Q（x）｜u｜2-2u＋λu x∈Ω,u=0 onδΩ Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.

关 键 词：semilinear elliptic equations infinitely many solutions variational method 

分 类 号：O175.25[理学—数学] O177.91[理学—基础数学]