A Schrödinger–Poisson System with the Critical Growth on the First Heisenberg Group

A Schrödinger–Poisson System with the Critical Growth on the First Heisenberg Group

In this paper, we study the Schrödinger–Poisson system with the critical growth on the first Heisenberg group. With the aid of the Green’s representation formula, the concentratio-compactness and the critical point theory, the existence of ground state solution.

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Veröffentlicht in:Journal of contemporary mathematical analysis 2023-07, Vol.58 (3), p.196-207
Hauptverfasser: Guo, Zhenyu, Shi, Qingying
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we study the Schrödinger–Poisson system with the critical growth on the first Heisenberg group. With the aid of the Green’s representation formula, the concentratio-compactness and the critical point theory, the existence of ground state solution.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362323030056