系数变号的半线性椭圆方程的正解

数学季刊 ›› 2002, Vol. 16 ›› Issue (4): 10-14.

系数变号的半线性椭圆方程的正解

西北师范大学数学系西北师范大学数学系甘肃兰州730070

收稿日期:2001-01-12 出版日期:2002-12-30 发布日期:2024-04-30
作者简介:MA Ru-yun（1964－）,male,native of Tianshui,Gansu,a professor of Northwestern Normal University,Ph．D．,engages in differential equation；YAO Qing-liu（1946－）,male,native of Shanghai,a professor of Northwestern Normal University,M．S．D．,engages in nonlinear analysis；LI Bao-lin（1963－）,male,native of TianshuiGansu,an associate professor of Northwestern Normal University,Ph．D．,engages in real analysis．
基金资助:
Supported by the National Natural Science Foundation of China（19801028）；Suppored by the GG-110- 10736-1003；Supported by the NWNU-KJCXGC-212

Positive Solutions of a Semilinear Elliptic Equation with Coefficient That Changes Sign

西北师范大学数学系西北师范大学数学系甘肃兰州730070

Received:2001-01-12 Online:2002-12-30 Published:2024-04-30
About author:MA Ru-yun（1964－）,male,native of Tianshui,Gansu,a professor of Northwestern Normal University,Ph．D．,engages in differential equation；YAO Qing-liu（1946－）,male,native of Shanghai,a professor of Northwestern Normal University,M．S．D．,engages in nonlinear analysis；LI Bao-lin（1963－）,male,native of TianshuiGansu,an associate professor of Northwestern Normal University,Ph．D．,engages in real analysis．
Supported by:
Supported by the National Natural Science Foundation of China（19801028）；Suppored by the GG-110-
10736-1003；Supported by the NWNU-KJCXGC-212

摘要/Abstract

摘要： 本文研究半线性椭圆方程Dirichlet问题-Δu =a(x) f(u) ,　x ∈Ω ,u(x) =0 ,x ∈ Ω ,正解的存在性 ,其中Ω为Rn 中有界的带光滑边界的区域 ,a(x)可以变号

关键词: 椭圆方程, 正解, Leray-Schauder不动点定理

Abstract: 本文研究半线性椭圆方程Dirichlet问题-Δu =a(x) f(u) ,　x ∈Ω ,u(x) =0 ,x ∈ Ω ,正解的存在性 ,其中Ω为Rn 中有界的带光滑边界的区域 ,a(x)可以变号

Key words: 椭圆方程, 正解, Leray-Schauder不动点定理,

中图分类号:

O175.25

马如云, 姚庆六, 李宝麟 . 系数变号的半线性椭圆方程的正解[J]. 数学季刊, 2002, 16(4): 10-14.

MA Ru-yun, YAO Qing-liu, LI Bao-lin. Positive Solutions of a Semilinear Elliptic Equation with Coefficient That Changes Sign[J]. Chinese Quarterly Journal of Mathematics, 2002, 16(4): 10-14.

[1]	岳俊瑞, 白庆月. 非线性分数微分方程边值问题单调正解的存在性[J]. 数学季刊, 2020, 35(4): 410-417.
[2]	菅典兵, 董正华 . 非线性共轭边值问题正解的存在性[J]. 数学季刊, 2002, 16(2): 87-93.
[3]	李青阳 . 中立型微分方程正解的存在性[J]. 数学季刊, 2002, 16(2): 77-80.
[4]	王庚. 具有转向点超曲面的奇摄动椭圆型方程边值问题[J]. 数学季刊, 2002, 16(1): 41-46.
[5]	冯秀芳, 郑驻军, 赵秀娥, 郑君英 . 全空间上半线性椭圆方程的多解性[J]. 数学季刊, 2001, 16(2): 98-103.
[6]	江秀芬, 姚庆六. 四阶超线性半正特征值问题的一个正解存在定理[J]. 数学季刊, 2001, 16(2): 64-68.
[7]	张彦肖. 一类退化与非退化稳态扩散模型正解的存在性[J]. 数学季刊, 2000, 15(3): 50-56.

系数变号的半线性椭圆方程的正解

Positive Solutions of a Semilinear Elliptic Equation with Coefficient That Changes Sign

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

编辑推荐

Metrics

本文评价