| 具有吸附和非线性边值条件的p-Laplacian方程 |
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| 引用本文： | 何剑峰,陈明玉.具有吸附和非线性边值条件的p-Laplacian方程[J].泉州师范学院学报,2006,24(6):1-5,8. |
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| 作者姓名： | 何剑峰 陈明玉 |
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| 作者单位： | 泉州师范学院,理工学院,福建,泉州,362000 |
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| 基金项目： | 福建省自然科学基金计划资助项目(Z0511048) |
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| 摘 要： | 讨论带吸附项和非线性边值条件的p-Laplacian方程解的存在唯一性问题.首先,在初值u0∈W1,p(Ω)∩L∞(Ω)的假设下,利用抛物正则化方法,在较弱的函数空间内证明了该问题弱解的存在性;其次,利用Steklov均值技巧,证明了该问题弱解的唯一性.
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| 关 键 词： | p-Laplace方程 吸附项 非线性边值条件 |
| 文章编号： | 1009-8224（2006）06-0001-05 |
| 收稿时间： | 2006-05-10 |
| 修稿时间： | 2006-05-10 |
p-Laplacian Equation with Absorption and a Nonlinear Boundary Condition |
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| HE Jian-feng,CHEN Ming-yu.p-Laplacian Equation with Absorption and a Nonlinear Boundary Condition[J].Journal of Quanzhou Normal College,2006,24(6):1-5,8. |
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| Authors: | HE Jian-feng CHEN Ming-yu |
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| Institution: | School of Seience,Quanzhou Nomal University,Fujian 362000,China |
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| Abstract: | In this paper,we study the existence and uniqueness of solution for p-Laplacian(equation) with absorption and a nonlinear boundary condition.First,it is proved that the(existence) of weak solution for the problem in a weaker function space by the method of regularization under the assumption on the initial data.Next,we prove the uniqueness of weak solution for the problem by Steklov average technic. |
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| Keywords: | p-Laplacian equation absorption nonlinear boundary condition |
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