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[1]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.
　TANG Biyun,LAN Yongyi.Multiplicity of Solutions to a Class of Kirchhoff Type Equation with Perturbation Terms[J].Journal of Jimei University,2021,26(4):374-378.
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一类含有扰动项的Kirchhoff型方程解的多重性(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第26卷
期数:
2021年第4期
页码:
374-378
栏目:
数理科学与信息工程
出版日期:
2021-07-28

文章信息/Info

Title:
Multiplicity of Solutions to a Class of Kirchhoff Type Equation with Perturbation Terms
作者:
汤碧云; 蓝永艺
（集美大学理学院，福建 厦门 361021）
Author(s):
TANG Biyun; LAN Yongyi
(School of Science,Jimei University,Xiamen 361021，China)
关键词:
Kirchhoff型方程; Nehari流形; 扰动项; 临界点理论
Keywords:
Kirchhoff type equation; Nehari manifold; perturbation terms; critical point theory
分类号:
-
DOI:
-
文献标志码:
A
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。
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.

参考文献/References:

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相似文献/References:

[1]蓝永艺.一类基尔霍夫型方程非平凡解的存在性[J].集美大学学报(自然科学版),2016,21(5):379.
　LAN Yong-yi.Existence of Nontrivial Solutions to a Class of Kirchhoff Type Equation[J].Journal of Jimei University,2016,21(4):379.

备注/Memo

备注/Memo:
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更新日期/Last Update: 2021-09-19