Electronic Journal of Differential Equations, Vol. 2006(2006), No. 11, pp. 1-10. Title: On a variational approach to existence and multiplicity results for semipositone problems Authors: David G. Costa (Univ. of Nevada, Las Vegas, NV, USA) Hossein Tehrani (Univ. of Nevada, Las Vegas, NV, USA) Jianfu Yang (Chinese Academy of Sciences, Wuhan, China) Abstract: In this paper we present a novel variational approach to the question of existence and multiplicity of positive solutions to semipositone problems in a bounded smooth domain of $\mathbb{R}^N$. We consider both the sublinear and superlinear cases. Submitted June 15, 2005. Published January 24, 2006. Math Subject Classifications: 46E35, 46E39, 35J55. Key Words: Variational approach; semipositone problems.