Blow-up of ground states of fractional Choquard equations

被引：0

作者：

Vilasi, Luca ^{[1
]}

Wang, Youjun ^{[2
]}

机构：

[1] Phys Sci & Earth Sci Univ Messina, Dept Math & Comp Sci, Viale F Stagno Alcontres 31, I-98166 Messina, Italy

[2] South China Univ Technol, Dept Math, Guangzhou 510640, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 225卷

关键词：

Choquard equation; Fractional Laplacian; Blow-up; SEMILINEAR ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.na.2022.113117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the blow-up behavior of ground states of the fractional Choquard equation (-?)(s)u + u = (K-alpha * |u|(p epsilon))|u|(p epsilon-2)u in R-N, with s is an element of (0, 1), N > 4s, K-alpha Riesz potential of order alpha is an element of (0, N), as the exponent p(epsilon) approaches the upper critical growth regime in Hardy-Littlewood- Sobolev's inequality. We prove that the ground state u(epsilon) blows up in the sense that IIu(epsilon)II(L infinity(RN)) = o(epsilon(-N-2s/4s)) as epsilon -> 0(+). (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：21

共 23 条

[1] Asymptotic Behavior of Ground States and Local Uniqueness for Fractional Schrodinger Equations with Nearly Critical Growth [J].