On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth

被引：0
|
作者：
Pei, Ruichang [1 ]
Zhang, Jihui [2 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui, Peoples R China
[2] Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2025年 / 70卷 / 01期
关键词：
Fractional Kirchhoff-type problems; critical exponential growth; positive solution; variational methods; GROUND-STATES; SCHRODINGER-EQUATION; STANDING WAVES; BOUND-STATES; MULTIPLICITY; LAPLACIAN; INEQUALITY;
D O I：
10.1080/17476933.2023.2296102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the following fractional Kirchhoff type problem { ( epsilon a+epsilon b/2 pi integral R-2|u(x)-u(y)|(2)|x-y|2dxdy) (-Delta)12u+V(x)u=f(u)inR. u is an element of H1/2(R),u>0 where epsilon is a positive parameter and a,b > 0 are constants; V is a positive continuous potential and f is a nonlinear term with critical exponential growth in the Trudinger-Moser sense. We obtain the existence and concentration of positive solutions by variational methods.
引用
收藏
页码：176 / 198
页数：23
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