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;d'Avenia, Pietro
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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
