MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN

作者：Xu, Yongqiang^*; Tan, Zhong; Sun, Daoheng

来源：Acta Mathematica Scientia, 2016, 36(6): 1793-1803.

DOI：10.1016/S0252-9602(16)30106-0

• fractional Laplacian
• existence
• asymptotic
• Sobolev trace inequality

In this paper, we consider a class of superlinear elliptic problems involving fractional Laplacian (-Delta)(s/2)u = lambda f (u) in a bounded smooth domain with zero Dirichlet boundary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the parameter lambda.

• 出版日期2016-11
• 单位厦门大学; 闽南师范大学