Journal of Jilin University Science Edition

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Existence of Solutions for a Class of Fractional Schr-dinger Equations

ZHAO Xin1, ZHAO Xueqiong1, SHENG Yuqi1, ZUO Peng2   

  1. 1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China;2. College of Science, Northeast Agricultural University, Harbin 150030, China
  • Received:2017-03-13 Online:2017-09-26 Published:2017-09-26
  • Contact: ZHAO Xin E-mail:jlndzx@sina.com

Abstract: We considered the existence of solutions for a class of  fractional Schrdinger equations. Under the condition that nonlinear term satisfied nonquadratic growth,  the existence of nontrivial solution was obtained by applying the variational methods.

Key words: nonquadratic growth, existence, fractional Schr-dinger equation, variational method

CLC Number: 

  • O175.25