首页    期刊浏览 2024年11月24日 星期日
登录注册

文章基本信息

  • 标题:Semiclassical Solutions for a Kind of Coupled Schrödinger Equations
  • 本地全文:下载
  • 作者:Jinmei Fan ; Yi-rong Jiang ; Qiongfen Zhang
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-6
  • DOI:10.1155/2020/4378691
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    In this paper, we are concerned with the following coupled Schrödinger equations − λ 2 Δ u + a 1 x u = c x v + a 2 x u p − 2 u + a 3 x u 2 ∗ − 2 u , x ∈ ℝ N , − λ 2 Δ v + b 1 x v = c x u + b 2 x v p − 2 v + b 3 x v 2 ∗ − 2 v , x ∈ ℝ N , where 2 p 2 ∗ , 2 q 2 ∗ , 2 ∗ = 2 N / N − 2 , and N ≥ 3 ; λ > 0 is a parameter; and a 1 , a 2 , a 3 , b 1 , b 2 , b 3 , c ∈ C ℝ N , ℝ and u , v ∈ H 1 ℝ N . Under some suitable conditions that a 1 0 = inf a 1 = 0 or b 1 0 = inf b 1 = 0 and c x 2 ≤ ϑ a 1 x b 1 x with ϑ ∈ 0 , 1 , the above coupled Schrödinger system possesses nontrivial solutions if λ ∈ 0 , λ 0 , where λ 0 is related to a 1 , a 2 , a 3 , b 1 , b 2 , b 3 , and N .

国家哲学社会科学文献中心版权所有