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Indexed by:Journal Papers

Date of Publication:2020-07-13

Journal:CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Included Journals:SCIE

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.