Name
Abstract | ||
|---|---|---|
In this paper, we study the following weighted elliptic system −Δu+u=λ1|x|αu3+μ|x|βuv2,x∈B,−Δv+v=λ2|x|αv3+μ|x|βu2v,x∈B,u,v>0,x∈B,u=v=0,x∈∂B,where B⊂RN(N=2,3) is the unit ball centered at the origin, λ1,λ2>0, μ>0, β>0, α>0. By virtue of variational approaches and rescaling methods, the system has a nontrivial ground state solution with α>β>0, moreover, by reduction methods, the ground state solution is radial symmetry if β>0 small enough. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.aml.2019.04.010 | Applied Mathematics Letters |
Keywords | DocType | Volume |
Elliptic system,Variational method,Ground state solutions,Symmetric results | Journal | 96 |
ISSN | Citations | PageRank |
0893-9659 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhenluo Lou | 1 | 0 | 0.68 |
| Jiafa Xu | 2 | 6 | 3.72 |