Existence of Least-Energy Sign-Changing Solutions for the Schrodinger-Bopp-Podolsky System with Critical Growth

被引：6
|
作者：
Hu, Yi-Xin [1 ]
Wu, Xing-Ping [1 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Bopp-Podolsky system; Sign-changing solution; Critical growth; Nonlocal term; Variational method; FOUNDATIONS;
D O I：
10.1007/s40840-022-01441-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Schrodinger-Bopp-Podolsky system {-delta u + V(x)u +phi u = mu f (u) +u(5) in R-3, -delta phi +a(2 )delta(2)phi = 4 pi u(2 )in R-3, thereinto, we request that a, mu > 0, the function V (x) and f (u) satisfies some specified conditions. By using constraint variational method and quantitative deformation lemma, we derive two results. If mu is large enough, the system has a least-energy sign-changing solution u(mu). Moreover, the energy of the solution is twice as large as that of the ground state solution.
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页数：19
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