| 一维p-Laplacian算子的非线性三点边值问题解的存在性 |
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| 引用本文： | 董艳艳.一维p-Laplacian算子的非线性三点边值问题解的存在性[J].徐州师范大学学报(自然科学版),2010,28(1):41-44. |
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| 作者姓名： | 董艳艳 |
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| 作者单位： | 苏州高等幼儿师范学校,江苏,苏州,215008 |
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| 基金项目： | 国家自然科学基金，江苏省研究生创新工程培养项目，江苏省自然科学基金资助项目，江苏省高校自然科学基金资助项目 |
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| 摘 要： | 运用Leray-Schauder不动点定理，研究了含有一维P—Laplacian算子的非线性三点边值问题解的存在性．结果表明：如果非线性项在其定义域的某个有界子集的“高度”是适当的，那么该问题必存在解或正解．
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| 关 键 词： | 一维P—Laplacian算子 三点边值问题 Leray—Schauder不动点定理 |
Existence of solution for nonlinear three-point boundary value problems with one-dimensional p-Laplacian operator |
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| DONG Yanyan.Existence of solution for nonlinear three-point boundary value problems with one-dimensional p-Laplacian operator[J].Journal of Xuzhou Normal University(Natural Science Edition),2010,28(1):41-44. |
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| Authors: | DONG Yanyan |
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| Institution: | DONG Yanyan(Suzhou Early Childhood Education College,Suzhou 215008,Jiangsu,China) |
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| Abstract: | In this paper,we are concerned with the nonlinear three-point boundary value problems with one-dimensional p-Laplacian operator.By using Leray-Schauder fixed point theorem,the existence of solution is established for the class of equations.The main results show that the class of equations has at least one solution or positive solution if the height of nonlinear term is appropriate on a bounded subset of its domain. |
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| Keywords: | one-dimensional p-Laplacian operator three-point boundary value problem Leray-Schauder fixed point theorem |
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