Multiple positive solutions of a nonlinear boundary value problem involving a sign-changing weight

Abstract: In this paper, we study the multiplicity of positive solutions for the following elliptic equation: where ( if if ), is an upper half space in and the functions and are satisfying some suitable conditions. Using the decomposition of the Nehari manifold, we prove that the equation has at least two positive solutions provided is sufficiently small. [Copyright &y& Elsevier]