|
|||||
|
|
| 关于一个拟线性椭圆边值问题的研究 | |
| 引用本文： | 王俊禹,郑大伟,高文杰. 关于一个拟线性椭圆边值问题的研究[J]. 数学进展, 2003, 32(5): 629-634 |
| 作者姓名： | 王俊禹 郑大伟 高文杰 |
| 作者单位： | 1. 吉林大学数学系,长春,吉林,130012,中国 2. 吉林大学商学院,长春,吉林,130012,中国 |
| 基金项目： | This work is partially supported by the NSFC and by Foundation to Excellent Young Teachers by Ministry of Education of China |
| 摘 要： | 本文研究一个主部为N维P-Laplace微分算子的非线性偏微分方程的边值问题.方程中的非线性项关于其变量可以具有奇性和间断性．这类方程的一种典型情形是大家熟知的具负指数的Emden-Fowler方程．本文利用摄动技巧，Schauder不动点定理，经对解的性质的精细分析．获得了解的存在性和唯一性结果． |
| 关 键 词： | 拟线性椭圆方程 边值问题 正解 存在性 惟一性 非线性偏微分方程 Emden-Fowler方程 摄动技巧 Schauder不动点定理 |
A Singular Quasilinear Elliptic Boundary Value Problem |
|
| WANG Jun-yu,ZHENG Da-wei,GAO Wen-jie. A Singular Quasilinear Elliptic Boundary Value Problem[J]. Advances in Mathematics(China), 2003, 32(5): 629-634 | |
| Authors: | WANG Jun-yu ZHENG Da-wei GAO Wen-jie |
| Abstract: | A boundary value problem of a nonlinear partial differential equation with the TV-dimensional p-Laplacian as the principal part is studied. The nonlinear term in the equation may have singularity and discontinuity in its variables. A typical form of the equation is the well-known Emden-Fowler equation with negative exponent. The existence and uniqueness results are obtained via a perturbation technique, the Schauder fixed point theorem and careful analysis of the property of the solutions. |
| Keywords: | boundary value problem positive solution existence uniqueness |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |