Elliptic Systems with Nonlinearities of Arbitrary Growth
نویسندگان
چکیده
In this paper we study the existence of nontrivial solutions for the following system of coupled semilinear Poisson equations: −∆u = v , in Ω, −∆v = f(u) , in Ω, u = 0 and v = 0 , on ∂Ω, where Ω is a bounded domain in R . We assume that 0 < p < 2 N−2 , and the function f is superlinear and with no growth restriction (for example f(s) = s e); then the system has a nontrivial (strong) solution.
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