NORMALIZED SOLUTIONS FOR SOBOLEV CRITICAL SCHRODINGER-BOPP-PODOLSKY SYSTEMS

被引：7

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

共 50 条

[1] Critical Schrodinger-Bopp-Podolsky systems: solutions in the semiclassical limit
Damian, Heydy M. Santos
Siciliano, Gaetano
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (06)
[2] Multiplicity of solutions for Schrodinger-Bopp-Podolsky systems
Jia, Chun-Rong
Li, Lin
Chen, Shang-Jie
O'Regan, Donal
GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (01) : 47 - 58
[3] Normalized solutions for Schrodinger-Bopp-Podolsky system with a negative potential
Zhang, Rong
Yao, Shuai
Sun, Juntao
APPLIED MATHEMATICS LETTERS, 2025, 161
[4] Ground State Solutions for the Nonlinear Schrodinger-Bopp-Podolsky System with Critical Sobolev Exponent
Li, Lin
Pucci, Patrizia
Tang, Xianhua
ADVANCED NONLINEAR STUDIES, 2020, 20 (03) : 511 - 538
[5] Normalized solutions to a Schrodinger-Bopp-Podolsky system under Neumann boundary conditions
Afonso, Danilo G. G.
Siciliano, Gaetano
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023, 25 (02)
[6] GROUND STATE SOLUTIONS FOR NONLINEAR SCHRODINGER-BOPP-PODOLSKY BOPP-PODOLSKY SYSTEMS WITH NONPERIODIC POTENTIALS
Jiang, Qiaoyun
Li, Lin
Chen, Shangjie
Siciliano, Gaetano
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (43) : 1 - 25
[7] On the critical Schrodinger-Bopp-Podolsky system with general nonlinearities
Chen, Sitong
Tang, Xianhua
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195
[8] Critical Schrodinger-Bopp-Podolsky System with Prescribed Mass
Li, Yiqing
Zhang, Binlin
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (07)
[9] Existence and Multiplicity of Solutions for the Schrodinger-Bopp-Podolsky System
Peng, Xueqin
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (06) : 3423 - 3468
[10] Multiple solutions for a Schrodinger-Bopp-Podolsky system with positive potentials
Figueiredo, Giovany M.
Siciliano, Gaetano
MATHEMATISCHE NACHRICHTEN, 2023, 296 (06) : 2332 - 2351

← 1 2 3 4 5 →