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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Published in:Journal of contemporary mathematical analysis 2023-07, Vol.58 (3), p.196-207
Main Authors: Guo, Zhenyu, Shi, Qingying
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Language:English
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Critical point
Mathematics
Mathematics and Statistics
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description 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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Mathematics
Mathematics and Statistics
title A Schrödinger–Poisson System with the Critical Growth on the First Heisenberg Group
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