Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains

Abstract: In this paper, existence and multiplicity results to the following Dirichlet problem are established, where , is bounded smooth domain and . Here , is a positive real parameter, the function , among other conditions, can possibly change sign in , and the function satisfies suitable conditions. The study is based on the comparison of energy levels on Nehari manifold. [Copyright &y& Elsevier]