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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Bibliographic Details
Published in:Journal of contemporary mathematical analysis 2023-07, Vol.58 (3), p.196-207
Main Authors: Guo, Zhenyu, Shi, Qingying
Format: Article
Language:English
Subjects:
Critical point
Mathematics
Mathematics and Statistics
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Summary: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