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. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 387:1(2012), pp. 433-438. [10.1016/j.jmaa.2011.09.012]
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:
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