Multiple solutions for a Neumann system involving subquadratic nonlinearities

Abstract: In this paper, we consider the model semilinear Neumann system where is a smooth open bounded domain, denotes the outward unit normal to , is a parameter, , and is a nonnegative function which is subquadratic at infinity. Two nearby numbers are determined in explicit forms, and with , such that for every , system has only the trivial pair of solution, while for every , system has at least two distinct nonzero pairs of solutions. [Copyright &y& Elsevier]