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渐近线性p-Kirchhoff型方程解的多重性

Multiplicity of Solutions of Asymptotically Linear p-Kirchhoff Type Equations
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摘要 考虑有界区域上p-Kirchhoff型方程在Dirichlet边界条件下解的存在性,应用山路定理得到了当非线性项满足渐近线性增长条件时p-Kirchhoff型方程两个非平凡解的存在性. domains infinity, with the This paper deals with the existence of solutions for p-Kirchhoff type equations in bounded under Dirichlet boundary condition. When the nonlinearity is asymptotically linear at there exist two nontrivial solutions of the p Kirchhoff type equation which can be proved aid of the mountain pass theorem.
作者 王田娥 李健 牛太阳 李俊杰
机构地区 吉林农业大学信息技术学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2015年第3期372-376,共5页 Journal of Jilin University:Science Edition
基金 吉林省青年科研基金(批准号:20130522110JH) 吉林省重点科技攻关项目(批准号:20140204045NY) 吉林省教育厅"十二五"科学技术研究项目(批准号:[2014]第468号)
关键词 多重性 山路定理 p-Kirchhoff型方程 multiplicity mountain pass theorem p-Kirchhoff type equation
分类号 O175.25 [理学—基础数学]
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参考文献16

  • 1Kirchhoff G. Mechanik [M]. Leipzig: Teubner,1883.
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二级参考文献19

  • 1CHENG Bi-tao, WU Xian. Existence Results of Positive Solutions of Kirchhoff Type Problems [J]. Nonlinear Analysis: Theory, Methods b- Applicatios, 2009, 71(10).. 4883-4892.
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共引文献2

吉林大学学报（理学版）
2015年 第3期

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