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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

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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.