Normalized solutions for critical Kirchhoff-Schrödinger-Poisson systems in the Heisenberg group

In this paper, we consider the existence and multiplicity of normalized solutions for critical Kirchhoff-Possion system involving $p$-sub-Laplacian in the Heisenberg group. Under suitable assumptions, combined with the truncation technique, the concentration-compactness principle, the genus theory, we obtain the existence and multiplicity of the normalized solutions in the $L^p$-subcritical case. To some extent, we extend the results of [19, 30]. Moreover, the result of the paper is completely new in the Euclidean case.

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Publication Details

Journal
Differential and Integral Equations
Published
2025-06-27
DOI
https://doi.org/10.57262/die038-0910-537
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Normalized solutions for critical Kirchhoff-Schrödinger-Poisson systems in the Heisenberg group

Sihua Liang, Lifeng Guo
Differential and Integral Equations
Advanced Mathematical Modeling in Engineering
article

Normalized solutions for critical Kirchhoff-Schrödinger-Poisson systems in the Heisenberg group

Sihua Liang, Lifeng Guo
article en

Abstract

In this paper, we consider the existence and multiplicity of normalized solutions for critical Kirchhoff-Possion system involving $p$-sub-Laplacian in the Heisenberg group. Under suitable assumptions, combined with the truncation technique, the concentration-compactness principle, the genus theory, we obtain the existence and multiplicity of the normalized solutions in the $L^p$-subcritical case. To some extent, we extend the results of [19, 30]. Moreover, the result of the paper is completely new in the Euclidean case.

Differential and Integral EquationsVol. 38(9/10)
Openalex Percentile: Top 83%
Advanced Mathematical Modeling in Engineering
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