Positive Ground States for the Fractional Klein–Gordon–Maxwell System with Critical Exponents

Positive Ground States for the Fractional Klein–Gordon–Maxwell System with Critical Exponents

In this paper, we consider a fractional Klein–Gordon–Maxwell system when the non-linearity exhibits critical growth. Under some appropriate assumptions on potential V , we prove the existence of positive ground state solutions using the Nehari method.

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Veröffentlicht in:Mediterranean journal of mathematics 2023-04, Vol.20 (2), Article 67
Hauptverfasser: Guo, Zhenyu, Zhao, Lujuan
Format: Artikel
Sprache:eng
Schlagworte:
Ground state
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we consider a fractional Klein–Gordon–Maxwell system when the non-linearity exhibits critical growth. Under some appropriate assumptions on potential V , we prove the existence of positive ground state solutions using the Nehari method.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-023-02292-7