Existence of positive ground state solutions of critical nonlinear Klein-Gordon-Maxwell systems

Xu Liping and Chen Haibo: Existence of positive ground state solutions of critical nonlinear Klein-Gordon-Maxwell systems. (2022)

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Abstract

In this paper we study the following nonlinear Klein–Gordon–Maxwell system −∆u + [m2 0 − (ω + φ) 2 ]u = f(u) in R3 ∆φ = (ω + φ)u in R3 where 0 < ω < m0. Based on an abstract critical point theorem established by Jeanjean, the existence of positive ground state solutions is proved, when the nonlinear term f(u) exhibits linear near zero and a general critical growth near infinity. Compared with other recent literature, some different arguments have been introduced and some results are extended.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 44
ISSN: 1417-3875
Language: English
DOI: 10.14232/ejqtde.2022.1.44
Uncontrolled Keywords: Klein-Gordon-Maxwell rendszer - nemlineáris
Additional Information: Bibliogr.: p. 17-19. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2023. Mar. 13. 09:48
Last Modified: 2023. Mar. 13. 09:48
URI: http://acta.bibl.u-szeged.hu/id/eprint/78329

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