English

Radial solutions for a quasilinear elliptic system of Schr\"odinger type

Classical Analysis and ODEs 2011-05-17 v1

Abstract

In this paper we analyze the existence of entire radially symmetric solutions for Schrodinger system type {\Delta}_{p_{i}}u_{i}+h_{i}(r)|\nabla u_{i}|^{p_{i}-1}=a_{i}(r)f_{i}(u_1,...,u_{d}) for i=1,...,d on R^{N} where p_{i}>1, d \in {1,2,3,...}, h_{i} and a_{i} are nonnegative radial continuous functions and f_{i} are nonnegative increasing continuous functions on [0,\infty).

Keywords

Cite

@article{arxiv.1105.2863,
  title  = {Radial solutions for a quasilinear elliptic system of Schr\"odinger type},
  author = {Dragos-Patru Covei},
  journal= {arXiv preprint arXiv:1105.2863},
  year   = {2011}
}

Comments

10 pages