| 具非光滑位势的非线性非自治二阶系统解的存在性 |
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| 引用本文： | 唐胜忠,沈自飞. 具非光滑位势的非线性非自治二阶系统解的存在性[J]. 佳木斯大学学报, 2008, 26(5) |
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| 作者姓名： | 唐胜忠 沈自飞 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江,金华,321004;浙江师范大学数理与信息工程学院,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 考虑一般p-Laplacian和具有非光滑位势函数的非线性周期系统,通过对非光滑位势函数作合理的假设, 利用非光滑临界点理论上的变分方法, 证明了一个非平凡解的存在性定理.
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| 关 键 词： | 强制的 p-Laplacian方程 非光滑位势 |
The Existence Result of Nonlinear Nonautonomous Second-order System with a Nonsmooth Potential |
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| TANG Sheng-zhong,SHEN Zi-fei. The Existence Result of Nonlinear Nonautonomous Second-order System with a Nonsmooth Potential[J]. Journal of Jiamusi University(Natural Science Edition), 2008, 26(5) |
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| Authors: | TANG Sheng-zhong SHEN Zi-fei |
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| Affiliation: | College of Math.;Physics and Information Engineering;Zhejiang Normal University;Jinhua 321004;China |
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| Abstract: | In this paper,the authors consider nonlinear periodic systems driven by the ordinary p-Laplacian which has a nonsmooth potential function.Through the considerable hypotheses on the nonsmooth potential,using variational methods based on the nonsmooth critical point theory,an existence theorem of nontrivial solution was proved. |
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| Keywords: | coercive p-Laplacian equation nonsmooth potential |
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