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MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN 被引量：1

MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN
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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.
作者 许勇强 谭忠 孙道恒
机构地区 Department of Mechanical and Electrical Engineering School of Mathematics and Statistics School of Mathematical Sciences
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)
关键词 fractional Laplacian EXISTENCE ASYMPTOTIC Sobolev trace inequality fractional Laplacian existence asymptotic Sobolev trace inequality
分类号 O175.25 [理学—基础数学]
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二级引证文献1

Acta Mathematica Scientia
2016年 第6期

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