Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms
Analysis of PDEs
2019-08-21 v2
Abstract
We study global properties of positive radial solutions of --u = up +M |u|p+1 in RN wherep > 1 and M is a real number. We prove the existence or the non-existence of ground states and of solutions with singularity at 0 according to the values of M and p.
Keywords
Cite
@article{arxiv.1812.08418,
title = {Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms},
author = {Marie-Françoise Bidaut-Véron and Marta Garcia-Huidobro and Laurent Veron},
journal= {arXiv preprint arXiv:1812.08418},
year = {2019}
}