Existence and Multiplicity of Solutions for Superquadratic Noncooperative Variational Elliptic Systems
نویسندگان
چکیده
(ES) −∆u = αu− δv + Fu(u, v) in Ω, ∆v = −δu− γv + Fv(u, v) in Ω, u = v = 0 on ∂Ω, where Ω is a bounded open domain in R with smooth boundary, α ≥ 0, δ ≥ 0, γ ≥ 0 are three real parameters and F ∈ C(R,R). The solutions of (ES) represent the steady state solutions of reaction-diffusion systems which are derivedfrom several applications, such as mathematical biology or chemical reactions (see for instance [18] and [22]). The following examples are, for instance, particular cases of (ES). λ−ω systems. This kind of system has been widely used as a prototype of reaction-diffusion system
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