Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth
ABSTRACT This paper is dedicated to investigating the existence of normalized ground state solutions to a class of Kirchhoff problems, where the mixed nonlinearity exhibits critical exponential growth of the Trudinger–Moser type. By utilizing an abstract critical point theorem, we have obtained several new existence results. Our conclusions extend and complement some known results in previous papers.
Authors
- Liu Gao (ORCID: https://orcid.org/0000-0003-1635-1844)
- Zhong Tan (ORCID: https://orcid.org/0000-0002-5028-0181)
Institutions
- Xiamen University (CN)
- City University of Hong Kong, Shenzhen Research Institute (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-08-27
- DOI
- https://doi.org/10.1002/mma.70063
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Basic and Applied Basic Research Foundation of Guangdong Province