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Abstract
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Boundary Value Problems
Volume 2009 (2009), Article ID 532546, 7 pages
doi:10.1155/2009/532546

Infinitely many solutions for a semilinear elliptic equation with sign-changing potential

Chen Yu and Li Yongqing

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

Abstract

We consider a similinear elliptic equation with sign-changing potential −Δu−V(x)u=f(x,u), u∈H1(ℝN), where V(x) is a function possibly changing sign in ℝN. Under certain assumptions on f, we prove that the equation has infinitely many solutions.