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: 16 June 2009


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 EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationElliptic Equation

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Authors’ Affiliations

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


© C. Yu and L. Yongqing. 2009

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