Radial solutions for a quasilinear elliptic system of Schrödinger type

Details Radial solutions for a quasilinear elliptic system of Schrödinger type Radial solutions for a quasilinear elliptic system of Schrödinger type

2011-05-14

arxiv.org/abs/1105.2863v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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).

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