Critical and subcritical elliptic systems in dimension two
Critical and subcritical elliptic systems in dimension two
In this paper we study the existence of nontrivial solutions for the following system of two coupled semilinear Poisson equations:where Ω is a bounded domain in R 2 with smooth boundary ∂Ω, and the functions f and g have the maximal growth which allow us to treat problem (S) variationally …