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Positive Radial Symmetric Solutions of Nonlinear Biharmonic Equations in an Annulus
- Source :
- Symmetry, Vol 16, Iss 7, p 793 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- This paper discusses the existence of positive radial symmetric solutions of the nonlinear biharmonic equation ▵2u=f(u,▵u) on an annular domain Ω in RN with the Navier boundary conditions u|∂Ω=0 and ▵u|∂Ω=0, where f:R+×R−→R+ is a continuous function. We present some some inequality conditions of f to obtain the existence results of positive radial symmetric solutions. These inequality conditions allow f(ξ,η) to have superlinear or sublinear growth on ξ,η as |(ξ,η)|→0 and ∞. Our discussion is mainly based on the fixed-point index theory in cones.
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 16
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Symmetry
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f5d46ac1da420a93f831fe24d8b19e
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/sym16070793