Abstract
This paper deals with the system \[\{{array}{ll} -Δu = λu + q |u|^3 u ϕ& \hbox{in} B_R, -Δϕ=q |u|^5 & \hbox{in} B_R, u=ϕ=0 & \hbox{on} \partial B_R. {array}.\] We prove existence and nonexistence results depending on the value of .
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