NORMALIZED SOLUTIONS FOR SOBOLEV CRITICAL SCHRODINGER-BOPP-PODOLSKY SYSTEMS

被引：9

作者：

Li, Yuxin ^{[1
]}

Chang, Xiaojun ^{[1
,2
]}

Feng, Zhaosheng ^{[3
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China

[3] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 56期

关键词：

Normalized solutions; Schrodinger-Bopp-Podolsky system; Lagrange multiplier; ground state; variational method; PRESCRIBED NORM; GROUND-STATES; EXISTENCE; EQUATIONS; WAVES;

D O I：

10.58997/ejde.2023.56

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Sobolev critical Schrodinger-Bopp-Podolsky system -Delta u + phi u = lambda u + mu|u| (p-2)u + |u|(4)u in R-3, -Delta phi + Delta(2)phi = 4 pi u(2) in R-3, under the mass constraint integral(R3) u(2) dx = c for some prescribed c > 0, where 2 < p < 8/3, mu > 0 is a parameter, and lambda is an element of R is a Lagrange multiplier. By developing a constraint minimizing approach, we show that the above system admits a local minimizer. Furthermore, we establish the existence of normalized ground state solutions.

引用

页码：1 / 19

页数：19

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