Journal of Jilin University Science Edition

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Multiplicity of Solutions for Asymptotically LinearFractional Elliptic Equations

JIA Xiuli1, WANG Ping2, WU Linzhe3   

  1. 1. Department of Basic Course, Jilin Business and Technology College, Changchun 130507, China;2. Institute of Normal, Tieling Normal College, Tieling 112000, Liaoning Province, China;3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2015-02-02 Online:2015-09-26 Published:2015-09-29
  • Contact: JIA Xiuli E-mail:jiaxiaoyi888@126.com

Abstract:

This paper deals with the multiplicity of solutions for some fractional elliptic equation (-Δ)su=f(x,u) in bounded domain under Dirichlet boundary condition. Using variational method, we obtained some new multiplicity results of the fractional elliptic equation when the nonlinearity is of asymptotically linear growth.

Key words: multiplicity, variational method, fractional Laplace equation

CLC Number: 

  • O177.91