JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (2): 84-88.doi: 10.6040/j.issn.1671-9352.0.2018.155

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Infinitely many nontrival solutions for a class of Schrödinger equations

WU Yi-jia, CHENG Rong*   

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China
  • Published:2019-02-25

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Abstract: This paper considers the existence of infinitely many nontrival solutions for a class of Schrödinger equation with sign-changing potentials. Under the condition that the nonlinearity has superquadratic growth, the existent result is established, which generalizes the existing results.

Key words: variational method, Schrö, dinger equation, critical point

CLC Number: 

  • O175.14
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