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一类二阶常p-Laplace系统周期解的存在性 被引量：2

Periodic Solutions for Second-order Ordinary p-Laplacian System
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摘要 Hamilton系统理论是经典而又现代化的研究领域,其广泛存在于数理科学,生命科学及社会科学等各个领域,特别是经典力学和场论中很多模型都以Hamilton系统的形式出现。本文通过应用临界点理论中的极小极大方法,研究一类常p-Laplace系统非平凡周期解的存在性,所得结构推广了二阶Hamilton系统的相关结果。 By using minimax methods in critical point theory,a new existence theorem of periodic solutions is obtained for a second-order ordinary p-Laplacian system.The result obtained generalizes some known works in the literature.
作者 李传华 冯春华
机构地区 广西师范大学研究生学院 广西师范大学数学科学学院
出处 《广西师范大学学报（自然科学版）》 CAS 北大核心 2011年第3期28-32,共5页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10961005 11161051)
关键词 周期解 极小极大方法 临界点 常p-Laplace系统 periodic solution minimax methods critical point ordinary p-Laplacian system
分类号 O189.1 [理学—基础数学]
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参考文献12

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同被引文献22

  • 1廖为,蒲志林.一类拟线性椭圆型方程Dirichlet问题正解的存在性[J].四川师范大学学报（自然科学版）,2007,30(1):31-35. 被引量：7
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  • 7Yong W A.Relaxation limit of multi-dimensional isentropic hydrodynamical models for semiconductors[J].SIAM J Appl Math,2004,64:1737-1748.
  • 8Natalini R,Rousset F.Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations[J].Proc Am Math Soc,2006,134:2251-2258.
  • 9Xu J,Yong W A.Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors[J].J Diff Eqns,2009,247:1777-1795.
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引证文献2

广西师范大学学报（自然科学版）
2011年 第3期

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