Normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group

In this paper, we consider the existence and multiplicity of normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group. Under suitable assumptions, combined with the truncation technique, the concentration‐compactness principle, and the genus theory, we obtain the existence and multiplicity of the normalized solutions in the ‐subcritical case. As far as we know, the result of the paper is completely new in the Euclidean case.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2024-09-30
DOI
https://doi.org/10.1002/mma.10528
Citations
5
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
4.45
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article

Normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group

Sihua Liang, Lifeng Guo, Xuechun Zheng
5 citations
Mathematical Methods in the Applied Sciences
Advanced Mathematical Physics Problems
4.45
article

Normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group

Sihua Liang, Lifeng Guo, Xuechun Zheng
article en
5 citations

Abstract

In this paper, we consider the existence and multiplicity of normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group. Under suitable assumptions, combined with the truncation technique, the concentration‐compactness principle, and the genus theory, we obtain the existence and multiplicity of the normalized solutions in the ‐subcritical case. As far as we know, the result of the paper is completely new in the Euclidean case.

Mathematical Methods in the Applied SciencesVol. 48(3)
Changchun Normal University (CN), Northeast Petroleum University (CN)
Openalex Percentile: Top 4%
Advanced Mathematical Physics Problems
4.45
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