| 非线性一维p-Laplace方程的两正解存在定理 |
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| 引用本文： | 姚庆六.非线性一维p-Laplace方程的两正解存在定理[J].应用泛函分析学报,2005,7(1):28-38. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,江苏,南京,210003 |
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| 摘 要： | 考察了一类非线性一维p-Laplace方程正解的多解性.主要结论表明,即使非线性项在0点和无穷远处不满足通常的增长条件,该方程仍可能有两个正解.
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| 关 键 词： | 非线性一维p-Laplace方程 边值问题 正解 多解性 |
Existence Theorems about Two Positive Solutions for a Nonlinear One-Dimensional p-Laplacian |
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| YAO Qing-liu.Existence Theorems about Two Positive Solutions for a Nonlinear One-Dimensional p-Laplacian[J].Acta Analysis Functionalis Applicata,2005,7(1):28-38. |
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| Authors: | YAO Qing-liu |
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| Institution: | YAO Qing-liu Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China |
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| Abstract: | The multiplicity of positive solutions is considered for a class of nonlinear onedimensional p- Laplacian′s. Main results show that the equation may have two positive solutions even though the nonlinear term does not satisfy usual growth conditions at 0 and infinity. |
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| Keywords: | nonlinear one-dimensional p-Laplacian boundary value problem positive solution multiplicity |
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