Critical nonlocal Schrödinger-Poisson system on the Heisenberg group

In this paper, we are concerned with the following a new critical nonlocal Schrödinger-Poisson system on the Heisenberg group: where Δ is the Kohn-Laplacian on the first Heisenberg group , and is a smooth bounded domain, , > 0, 1

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Bibliographische Detailangaben
Veröffentlicht in:	Advances in nonlinear analysis 2022-01, Vol.11 (1), p.482-502
Hauptverfasser:	Liu, Zeyi, Tao, Lulu, Zhang, Deli, Liang, Sihua, Song, Yueqiang
Format:	Artikel
Sprache:	eng
Schlagworte:	35J20 35R03 46E35 Clark critical point theorem Heisenberg group Krasnoselskii genus theorem Mountain pass theorem Schrödinger-Poisson type system
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Beschreibung
Zusammenfassung:	In this paper, we are concerned with the following a new critical nonlocal Schrödinger-Poisson system on the Heisenberg group: where Δ is the Kohn-Laplacian on the first Heisenberg group , and is a smooth bounded domain, , > 0, 1
ISSN:	2191-9496 2191-950X
DOI:	10.1515/anona-2021-0203