| 一类带有p—Laplace算子的方程解的有界性 |
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| 引用本文： | 马晓.一类带有p—Laplace算子的方程解的有界性[J].泰安师专学报,2013(3):46-50. |
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| 作者姓名： | 马晓 |
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| 作者单位： | 中国海洋大学数学科学学院,山东青岛266100 |
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| 摘 要： | 研究方程（Фp（x＇））＇＋λ2Фp（x）＋f（x）=e（t）的拉格朗目稳定性，其中Фp（s）=｜s｜p-2s，p≥2为常数；当x→∞时，扰动项f（x）=o（x）；e（t）为2πp周期函数，且πp=2π（p-1）1/p/psinπ/p.
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| 关 键 词： | 解的有界性 p—Laplace方程 典则变换 扭转定理 |
Boundedness of Solutions for a Class of Equations with p - Laplace Operator |
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| MA Xiao.Boundedness of Solutions for a Class of Equations with p - Laplace Operator[J].Journal of Taian Teachers College,2013(3):46-50. |
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| Authors: | MA Xiao |
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| Institution: | MA Xiao (School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, China) |
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| Abstract: | In this paper, we are concerned with the boundedness of all the solutions for equations with p - Laplacian term （Фp（x＇））＇＋λ2Фp（x）＋f（x）=e（t）.Where Фp（s）=｜s｜p-2s,p≥2 and the perturbation f（x）=o（x）; ;as x→∞ ,e（t） is a smooth 2~p periodic function on t, where πp=2π（p-1）1/p/psinπ/p. |
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| Keywords: | boundedness of solutions p - Laplace equations canonical transformation Moser＇s small twist theorem |
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