Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958569 | Computers & Mathematics with Applications | 2017 | 15 Pages |
Abstract
In this paper, we prove the existence of positive solutions and negative solutions for the following modified Schrödinger-Kirchhoff-Poisson type systems {â(a+bâ«R3â£âuâ£2)Îu+V(x)u+Ïuâ12uÎ(u2)=f(x,u),inR3,âÎÏ=u2,inR3, where a>0, bâ¥0, V and f are continuous functions and V(x) is allowed to be sign-changing. Under some certain assumptions on V and f, we prove the existence of nontrivial nonnegative solutions, nontrivial nonpositive solutions and sequence of high energy solutions via the perturbation method.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jianhua Chen, Xianhua Tang, Zu Gao,