| 一维奇异p-Laplace方程的正解 |
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| 引用本文： | 姚庆六,吕海琛. 一维奇异p-Laplace方程的正解[J]. 数学学报, 1998, 41(6): 0-1264. DOI: cnki:ISSN:0583-1431.0.1998-06-019 |
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| 作者姓名： | 姚庆六 吕海琛 |
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| 作者单位： | [1]西北师范大学数学系 [2]韩山师范学院数学系 |
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| 摘 要： | 本文获得了一维奇异p－Laplace方程的Dirichlet边值问题（|y′|p-2y′）′＋g（t，y）＝0，y（0）＝y（1）＝0，P＞1的两个正解存在定理．这一结论是通过使用Leray－Schauder非线性抉择及上下解方法建立的．
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| 关 键 词： | 一维奇异p－Laplace方程 上下解方法 Lerny－Schauder非线性抉择 正解 |
Positive Solutions of One-dimensional Singular p-Laplace Equations |
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| Yao Qingliu. Positive Solutions of One-dimensional Singular p-Laplace Equations[J]. Acta Mathematica Sinica, 1998, 41(6): 0-1264. DOI: cnki:ISSN:0583-1431.0.1998-06-019 |
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| Authors: | Yao Qingliu |
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| Affiliation: | Yao Qingliu (Department of Mathematics, Northwest Normal Uuiversity, Lonzhou 730070, China)Lu Haichen (Department of Mathematics, Harshan Teachers College, Chaozhou 521041, China) |
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| Abstract: | Two existence theorems about the positive solutions of the BVP for onedimensional singular P-Laplace equations (|y|p-2y')' g(t, y) = 0, y(0) = g(1) = 0,p > 1 was established. The results are obtained by using the nonlinear alternative of Leray-Schauder and the lower-upper solution method. |
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| Keywords: | one-dimensional singular p-Laplace equation Lower-upper solution method Nonlinear alternative of Leray-Schauder Positive solution |
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