Article ID Journal Published Year Pages File Type
843662 Nonlinear Analysis: Theory, Methods & Applications 2007 12 Pages PDF
Abstract

In this work, we consider an elliptic system of two equations in dimension greater than one, with nonlinearities which are linear at −∞−∞ and superlinear at +∞+∞.We prove, by variational techniques which involve a strongly indefinite functional, the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with the eigenvalues of the operator.

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