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  • 标题:Construct new type solutions for the fractional Schrödinger equation
  • 本地全文:下载
  • 作者:Yuan Lin ; Weiming Liu
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13661-021-01534-5
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is devoted to studying the following nonlinear fractional problem: 0.1 $$ \textstyle\begin{cases} (-\Delta )^{s}u u=K( \vert x \vert )u^{p},\quad u>0, x\in {\mathbb{R}}^{N}, \\ u(x)\in H^{s}({\mathbb{R}}^{N}), \end{cases} $$ where $N\geq 3$ , $0< s<1$ , $1< p<\frac{N 2s}{N-2s}$ , $K( x )$ is a positive radical function. We constructed infinitely many non-radial solutions of the new type which have a more complex concentration structure for (0.1).
  • 关键词:35B09 ; 35J10 ; 47J30
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