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.
Authors
- Chenglian Liu (ORCID: https://orcid.org/0000-0002-9086-9740)
- Zhong Tan (ORCID: https://orcid.org/0000-0002-5028-0181)
Institutions
- Xiamen University (CN)
Publication Details
- Journal
- Communications on Pure & 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
Funders
- National Natural Science Foundation of China