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  • Research Article
  • Open Access

Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential

Boundary Value Problems20092009:532546

  • Received: 23 March 2009
  • Accepted: 10 June 2009
  • Published:


We consider a similinear elliptic equation with sign-changing potential , , where is a function possibly changing sign in . Under certain assumptions on , we prove that the equation has infinitely many solutions.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Elliptic Equation

Publisher note

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Authors’ Affiliations

School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou, 350007, China


© C. Yu and L. Yongqing. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.