Open Access 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

For all author emails, please log on.

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

Published: 16 June 2009

Abstract

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.