Existence and non-existence results for some weighted fourth-order elliptic equations
New types of Caffarelli–Kohn–Nirenberg inequalities and Rellich inequality are established in some weighted Hilbert spaces. Using such inequalities, we study existence and qualitative properties of positive solutions for weighted fourth-order elliptic equations with singular potential. We also present Liouville-type results for the equations.
Authors
- Fangshu Wan
- Liping Wang (ORCID: https://orcid.org/0000-0002-2913-311X)
- Zongming Guo
Institutions
- Anhui University (CN)
- East China Normal University (CN)
- Henan Normal University (CN)
Publication Details
- Journal
- Communications in Contemporary Mathematics
- Published
- 2025-03-20
- DOI
- https://doi.org/10.1142/s0219199725500397
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00