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arXiv · 1108.0637

On a system involving a critically growing nonlinearity

Antonio Azzollini·Pietro d'Avenia
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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 $λ$.

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Antonio Azzollini, Pietro d'Avenia. 2011-08-02. On a system involving a critically growing nonlinearity. https://arxiv.org/abs/1108.0637

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