GROUND STATES FOR CHOQUARD EQUATIONS WITH DOUBLY CRITICAL EXPONENTS

被引：14

作者：

Li, Xinfu ^{[1
]}

Ma, Shiwang ^{[2
,3
]}

机构：

[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2019年 / 49卷 / 01期

关键词：

Critical Choquard equation; positive solution; Pohozaev identity; ground state solution; radially symmetric; EXISTENCE;

D O I：

10.1216/RMJ-2019-49-1-153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, an autonomous Choquard equation with doubly critical exponents is studied. By using the Pohozaev constraint and the perturbed method, a positive and radially symmetric ground state solution in H-1 (R-N) is obtained. The result here extends and complements the earlier theorems obtained by Seok [19] and Moroz and Schaftingen [14].

引用

页码：153 / 170

页数：18

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