| 一类含有扰动项的Kirchhoff型方程解的多重性 |
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| 引用本文： | 汤碧云,蓝永艺.一类含有扰动项的Kirchhoff型方程解的多重性[J].集美大学学报(自然科学版),2021,26(4):374-378. |
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| 作者姓名： | 汤碧云 蓝永艺 |
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| 作者单位： | （集美大学理学院，福建 厦门 361021） |
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| 摘 要： | 考虑含有扰动项的非线性Kirchhoff型问题-(a+b∫Ω∣▽u∣2dx)Δu=f(x,u)+h(x)。在非线性项f适当的假设条件下,利用Nehari流形、临界点理论和一些分析技巧，研究一类含有扰动项的Kirchhoff型方程解的多重性。
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| 关 键 词： | Kirchhoff型方程 Nehari流形 扰动项 临界点理论 |
Multiplicity of Solutions to a Class of Kirchhoff Type Equation with Perturbation Terms |
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| TANG Biyun,LAN Yongyi.Multiplicity of Solutions to a Class of Kirchhoff Type Equation with Perturbation Terms[J].the Editorial Board of Jimei University(Natural Science),2021,26(4):374-378. |
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| Authors: | TANG Biyun LAN Yongyi |
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| Institution: | (School of Science,Jimei University,Xiamen 361021，China) |
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| Abstract: | This paper is dedicated to study the nonlinear Kirchhoff type problem with perturbation terms -(a+b∫Ω∣▽u∣2dx)Δu=f(x,u)+h(x).Under suitable assumptions on the nonlinear term f,it was shown that the Kirchhoff type equation with perturbation terms had multiplicity of solutions by Nehari manifold,critical point theory and some analysis techniques. |
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| Keywords: | Kirchhoff type equation Nehari manifold perturbation terms critical point theory |
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