| 一类四阶周期边值问题的基态 |
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| 引用本文： | 赵宏. 一类四阶周期边值问题的基态[J]. 太原师范学院学报(自然科学版), 2010, 9(1): 28-31 |
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| 作者姓名： | 赵宏 |
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| 作者单位： | 山西大学,数学科学学院,山西,太原,030006 |
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| 摘 要： | 文章考虑一类四阶周期边值问题基态的存在性,其中对非线性项限制Ambrosetti-Rabinowitz增长性条件,运用极大极小原理来刻画基态.
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| 关 键 词： | 周期边值问题 临界点 基态解 |
On Ground States of Some Fourth-Order Periodic Boundary Value Problems |
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| Zhao Hong. On Ground States of Some Fourth-Order Periodic Boundary Value Problems[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2010, 9(1): 28-31 |
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| Authors: | Zhao Hong |
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| Affiliation: | Zhao Hong (School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | In this paper,we study the existence of ground states for some fourth-order periodic houndary value problems with Ambrosetti and Rabinowiz growth condition,applying a minimax characterixation of ground states. |
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| Keywords: | periodic boundary value problem critical point ground states |
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