Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892295 | Computers & Mathematics with Applications | 2017 | 15 Pages |
Abstract
In this paper, we study the problem (0.1)âa+bâ«RN|âu|2dxÎu+V(x)u=μf(u)+g(x)u2ââ1inRN,where Nâ¥3, a, b>0. When N=3 and μ>0 is small, under suitable conditions on V, f and g, we prove (0.1) has two nontrivial solutions. When Nâ¥4 and g(x)=1, we also obtain the existence and non-existence results.
Related Topics
Physical Sciences and Engineering
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Authors
Jian Zhang, Yanju Ji,