西北师范大学数学与统计学院,甘肃 兰州 730070
纸质出版日期:2024-09-25,
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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.
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.
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.
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
fourth order elliptic boundary value problemradial symmetric solutionexistence and uniquenessLeray-Schauder fixed point theorem
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