Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type
In this paper, we consider the following fourth‐order equation of Kirchhoff type under the normalized constraint , where are constants, and is a Lagrange multiplier. Firstly, we obtain the existence of ground state solutions for or with . Moreover, we show the nonexistence of solutions for . Finally, we investigate the asymptotic behavior of normalized solutions obtained above with respect to the parameter .
Authors
- Tao Han (ORCID: https://orcid.org/0000-0003-3814-8492)
- Zhen‐Feng Jin (ORCID: https://orcid.org/0000-0001-5224-3387)
- Hong‐Rui Sun (ORCID: https://orcid.org/0000-0003-2008-3635)
Institutions
- Lanzhou University of Finance and Economics (CN)
- Shanxi Normal University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-11-05
- DOI
- https://doi.org/10.1002/mma.10570
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- National Natural Science Foundation of China