On a system involving a critically growing nonlinearity
Analysis of PDEs
2011-08-03 v1
Abstract
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 .
Cite
@article{arxiv.1108.0637,
title = {On a system involving a critically growing nonlinearity},
author = {Antonio Azzollini and Pietro d'Avenia},
journal= {arXiv preprint arXiv:1108.0637},
year = {2011}
}