On a system involving a critically growing nonlinearity

Antonio Azzollini; Pietro d'Avenia

arxiv: 1108.0637 · v1 · pith:32VSITLGnew · submitted 2011-08-02 · 🧮 math.AP

On a system involving a critically growing nonlinearity

Antonio Azzollini , Pietro d'Avenia This is my paper

classification 🧮 math.AP

keywords hboxarraydeltalambdasystemcriticallydealsdepending

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

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On a system involving a critically growing nonlinearity

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