Indexed by:
Journal Papers
First Author:
Fang, Xiang-Dong
Correspondence Author:
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.
Co-author:
Wang, Zhi-Qiang
Date of Publication:
2020-07-13
Journal:
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Included Journals:
SCIE
Document Type:
J
Volume:
59
Issue:
4
ISSN No.:
0944-2669
Key Words:
35J20; 35J60
Abstract:
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.
Translation or Not:
no
