Positive solutions for a non-autonomous Schrödinger-Bopp-Podolsky system

Positive solutions for a non-autonomous Schrödinger-Bopp-Podolsky system

In the paper, by using the variational methods we study a non-autonomous Schrödinger-Bopp-Podolsky system, where a > 0, 3 < p < 4 are fixed, λ > 0 is a parameter, and the potentials V, Q satisfy appropriate assumptions. We give some existence results, depending on the parameter λ. Moreov...

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Veröffentlicht in:Journal of mathematical physics 2023-10, Vol.64 (10)
Hauptverfasser: Liu, Jiu, Duan, Yu, Liao, Jia-Feng, Pan, Hui-Lan
Format: Artikel
Sprache:eng
Schlagworte:
Parameters
Physics
Variational methods
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Zusammenfassung:In the paper, by using the variational methods we study a non-autonomous Schrödinger-Bopp-Podolsky system, where a > 0, 3 < p < 4 are fixed, λ > 0 is a parameter, and the potentials V, Q satisfy appropriate assumptions. We give some existence results, depending on the parameter λ. Moreover the results are still valid for the classical Schrödinger-Poisson system.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0159190