Normalized solutions for the Kirchhoff problem with critical exponential growth

This paper investigates the existence of normalized solutions for the Kirchhoff problem, where the nonlinear term exhibits critical exponential growth of the Trudinger-Moser type. Under weak assumptions, we establish several new existence results by utilizing refined estimates and analytical techniques. Our study extends and complements existing findings in the literature.

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Publication Details

Journal
Communications on Pure &amp Applied Analysis
Published
2025-01-01
DOI
https://doi.org/10.3934/cpaa.2025059
Citations
1
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
1.50

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article

Normalized solutions for the Kirchhoff problem with critical exponential growth

Chenglian Liu, Zhong Tan
1 citations
Communications on Pure &amp Applied Analysis
Advanced Mathematical Modeling in Engineering
1.50
article

Normalized solutions for the Kirchhoff problem with critical exponential growth

Chenglian Liu, Zhong Tan
article en
1 citations

Abstract

This paper investigates the existence of normalized solutions for the Kirchhoff problem, where the nonlinear term exhibits critical exponential growth of the Trudinger-Moser type. Under weak assumptions, we establish several new existence results by utilizing refined estimates and analytical techniques. Our study extends and complements existing findings in the literature.

Communications on Pure &amp Applied AnalysisVol. 24(9)
Xiamen University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 18%
Advanced Mathematical Modeling in Engineering
1.50
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