Article ID Journal Published Year Pages File Type
842087 Nonlinear Analysis: Theory, Methods & Applications 2010 16 Pages PDF
Abstract

In this paper we study a multiplicity result for a strongly indefinite semilinear elliptic system {−ϵ2Δu+u=g(x)∣v∣q−1vin RN,−ϵ2Δv+v=f(x)∣u∣p−1uin RN. Our interest is the relation between the number of solutions and the topology of the global minima set of a suitable ground energy function.

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