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Positive Radial Symmetric Solutions of Nonlinear Biharmonic Equations in an Annulus

Authors :
Yongxiang Li
Shengbin Yang
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