Limiting profile of solutions for Schrodinger equations with shrinking self-focusing core
发布时间：2020-08-13
点击次数：
- 论文类型：
- 期刊论文
- 发表时间：
- 2020-07-13
- 发表刊物：
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- 收录刊物：
- SCIE
- 文献类型：
- J
- 卷号：
- 59
- 期号：
- 4
- ISSN号：
- 0944-2669
- 关键字：
- 35J20; 35J60
- 摘要：
- We consider the following equation disp-formula id="Equ40"mml:mtable mml:mtr mml:mtd columnalign="right"-Delta u+u=Qn(x)|u|p-2u,mml:mspace width="1em"mml:mspace>x is an element of RN,mml:mtd mml:mtrmml:mtable><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="526_2020_1799_Article_Equ40.gif" position="anchor"></graphic></disp-formula>where Qn are concrete bounded functions whose self-focusing core mml:mspace width="0.333333em" mml:mspace>supp<mml:mspace width="0.333333em" mml:mspace mml:mspace width="0.166667em" mml:mspace Qn+ shrinks to a finite set of points as n -> infinity. We investigate the limiting profile of concentration for the ground state solutions and construct localized bound state solutions of concentration type.
- 第一作者
- Fang, Xiang-Dong
- 合写作者
- Wang, Zhi-Qiang
- 通讯作者
- Wang, ZQ (corresponding author), Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Peoples R China.; Wang, ZQ (corresponding author), Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA.