Radial symmetric solution of a nonlinear fourth order elliptic equation on annular domains

WANG Yanyan; LI Yongxiang

doi:10.13471/j.cnki.acta.snus.ZR20230036

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Radial symmetric solution of a nonlinear fourth order elliptic equation on annular domains

Research articles | 更新时间：2024-11-07

- Radial symmetric solution of a nonlinear fourth order elliptic equation on annular domains
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 63, Issue 5, Pages: 177-184(2024)
- 作者机构：
  
  西北师范大学数学与统计学院，甘肃兰州 730070
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.ZR20230036
  CLC： O175.8;O177.91
- Published：25 September 2024，
- 稿件说明：
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王艳琰,李永祥.环形区域上一类非线性四阶椭圆型方程的径向对称解[J].中山大学学报(自然科学版)(中英文),2024,63(05):177-184.

WANG Yanyan,LI Yongxiang.Radial symmetric solution of a nonlinear fourth order elliptic equation on annular domains[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2024,63(05):177-184.
王艳琰,李永祥.环形区域上一类非线性四阶椭圆型方程的径向对称解[J].中山大学学报(自然科学版)(中英文),2024,63(05):177-184. DOI： 10.13471/j.cnki.acta.snus.ZR20230036.

WANG Yanyan,LI Yongxiang.Radial symmetric solution of a nonlinear fourth order elliptic equation on annular domains[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2024,63(05):177-184. DOI： 10.13471/j.cnki.acta.snus.ZR20230036.

摘要

讨论了环形区域上一类非线性四阶椭圆型边值问题径向对称解的存在性，在非线性项满足适当的不等式的条件下，运用Leray-Schauder不动点定理和先验估计技巧，获得了径向解的存在性与唯一性结果.

Abstract

The existence of radial symmetric solutions of a nonlinear fourth order elliptic boundary value problem is discussed. Under the nonlinearity satisfies some inequality conditions， the existence and uniqueness results of radial symmetric solutions are obtained by applying the Leray-Schauder fixed point theorem and the technique of prior estimates.

关键词

四阶椭圆边值问题径向对称解存在性与唯一性Leray-Schauder不动点定理

Keywords

fourth order elliptic boundary value problemradial symmetric solutionexistence and uniquenessLeray-Schauder fixed point theorem

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