An improved result for Klein–Gordon–Maxwell systems with steep potential well.

Autor: Zhang, Qiongfen, Gan, Canlin, Xiao, Ting, Jia, Zhen
Předmět:
Zdroj: Mathematical Methods in the Applied Sciences; Oct2021, Vol. 44 Issue 15, p11856-11862, 7p
Abstrakt: In this paper, we intend to study the following Klein‐Gordon‐Maxwell system: −Δu+(λA(x)+1)u−(2ω+φ)φu=f(u),x∈ℝ3,Δφ=(ω+φ)u2,x∈ℝ3.By adopting some new analytical skills and employing variational methods, the existence of a ground state solution for the above system is established under suitable conditions on A and f. The range of ω is more wider than Liu et al., Theorem 1.1 [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index