MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN  

作　　者：许勇强 谭忠 孙道恒 

机构地区：[1]Department of Mechanical and Electrical Engineering,Xiamen University,Xiamen 361005,China [2]School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China [3]School of Mathematical Sciences,Xiamen University,Xiamen 361005,China

出　　处：《Acta Mathematica Scientia》2016年第6期1793-1803,共11页数学物理学报（B辑英文版）

基　　金：supported by China Postdoctoral Science Foundation Funded Project(2016M592088);National Natural Science Foundation of China-NSAF(11271305)

摘　　要：In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the parameter λ.In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the parameter λ.

关 键 词：fractional Laplacian EXISTENCE ASYMPTOTIC Sobolev trace inequality 

分 类 号：O175.25[理学—数学]