Yu, Yang and Zhao, Yulin (2023) Caffarelli–Kohn–Nirenberg inequality for biharmonic equations with inhomogeneous term and Rellich potential. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (26). pp. 1-11. ISSN 1417-3875
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Official URL: https://doi.org/10.14232/ejqtde.2023.1.26
Abstract
In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland’s variational principle and Caffarelli–Kohn–Nirenberg inequality. Then by applying Mountain pass theorem lack of Palais–Smale conditions, the second solution with positive energy is also obtained.
| Item Type: | Article |
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| Uncontrolled Keywords: | singular biharmonic equations, nontrivial solution, inhomogeneous, Caffarelli–Kohn–Nirenberg inequality |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 02 Apr 2024 10:49 |
| URI: | https://real.mtak.hu/id/eprint/185170 |
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