| 奇异半线性及超线性一维p-Laplacian方程边值问题的正解 |
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| 引用本文： | 蒋达清.奇异半线性及超线性一维p-Laplacian方程边值问题的正解[J].数学学报,2002,45(4):731-736. |
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| 作者姓名： | 蒋达清 |
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| 作者单位： | 东北师范大学数学系,吉林,长春,130024 |
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| 基金项目： | 国家自然科学基金资助项目（19871012） |
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| 摘 要： | 本文讨论了奇异边值问题其中Φ（s）=|s|p-2s,p>1.函数g在u=0具有奇性,允许在u=∞处半线性或超线性,且可变号.解的存在性由上下解方法可得.
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| 关 键 词： | 奇异边值问题 上下解 存在性 超线性 |
| 文章编号： | 0583-1431(2002)04-0731-06 |
| 修稿时间： | 2000年2月15日 |
Positive Solutions to Singular Semilinear and Superlinear Boundary Value Problems for the One-Dimensional p-Laplacian |
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| Da Qing JIANG.Positive Solutions to Singular Semilinear and Superlinear Boundary Value Problems for the One-Dimensional p-Laplacian[J].Acta Mathematica Sinica,2002,45(4):731-736. |
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| Authors: | Da Qing JIANG |
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| Institution: | Da Qing JIANG(Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China)(E-mail: daqingjiang@163.com) |
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| Abstract: | The singular boundry value problemis studied in this paper, where Φ(s) =|s|p-2s, p > 1. The singularity may appear at u = 0, and the function g may be semilinear or superlinear at u =∞ and change sign. The existence of solutions is obtained via an upper and lower solutions method. |
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| Keywords: | Singular boundary value problem Upper and lower solutions Existence Superlinear |
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