This paper deals with the system \[ \left\{ \begin{array}{ll} -\Delta u = \lambda u + q |u|^3 u \phi & \hbox{in } B_R,\\ -\Delta \phi=q |u|^5 & \hbox{in } B_R,\\ u=\phi=0 & \hbox{on } \partial B_R. \end{array} \right. \] We prove existence and nonexistence results depending on the value of $\lambda$.
On a system involving a critically growing nonlinearity
AZZOLLINI, ANTONIO;
2012-01-01
Abstract
This paper deals with the system \[ \left\{ \begin{array}{ll} -\Delta u = \lambda u + q |u|^3 u \phi & \hbox{in } B_R,\\ -\Delta \phi=q |u|^5 & \hbox{in } B_R,\\ u=\phi=0 & \hbox{on } \partial B_R. \end{array} \right. \] We prove existence and nonexistence results depending on the value of $\lambda$.File in questo prodotto:
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