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Open Access Open Badges Research Article

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

Chen Yu* and Li Yongqing

Author Affiliations

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

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Boundary Value Problems 2009, 2009:532546  doi:10.1155/2009/532546

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/532546

Received:23 March 2009
Accepted:10 June 2009
Published:16 June 2009

© 2009 The Author(s).

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.


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.

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