在第一海森堡群上具有双临界增长的Schrödinger-Poisson系统

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-29 DOI:10.1016/j.aml.2025.109696

Sihua Liang , Patrizia Pucci , Xueqi Sun

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引用次数: 0

摘要

本文主要研究一类在第一海森堡群上具有双临界增长的Schrödinger-Poisson系统。利用变分方法，结合Heisenberg群上的集中紧性原理和临界点定理，证明了该问题多重解的存在性。在某种程度上，我们的结果补充和推广了Liang et al. [9], An and Liu b[4]， Guo and Shi[8]的先前定理。

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Schrödinger–Poisson systems with the double critical growth on the first Heisenberg group

This paper is mainly focused on a class of Schrödinger–Poisson systems with the double critical growth on the first Heisenberg group. By variational methods, together with the concentration–compactness principle on the Heisenberg group and a critical point theorem, existence of multiple solutions for this problem is proved. In a way, our results complement and extend previous theorems of Liang et al. [9], An and Liu [4], Guo and Shi [8].

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.