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Kirchhoff方程解的存在性与多解性 被引量：1

Existence and Multiplicity of Solutions to Kirchhoff Type Equations
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摘要 文章主要讨论Kirchhoff方程非平凡弱解的存在性与多解性,利用山路定理和喷泉定理得到解的存在性与多解性结果. To mainly discuss the existence and multiplicity of weak solutions to Kirchho.type equations by using the mountain pass theorem and the fountain theorem.
作者 王瑞娜 王小军 高小丽
机构地区 山西大学数学科学学院
出处 《太原师范学院学报（自然科学版）》 2011年第4期4-7,共4页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 KIRCHHOFF方程 山路定理 喷泉定理 临界点 kirchhoff equation mountain pass theorem fountain theorem critical point
分类号 O177.91 [理学—基础数学]
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参考文献3

  • 1Cheng B T, Wu X. Existence results of positive solutions of Krichhoff. problems[J]. Nonlinear Anal, 2009,71:4 883-4 892.
  • 2Mao A M,Zhang Z T. Sign-changing and multiple solutions of Krichhoff type problems without the P. S. condition[J]. Nonlinear Anal,2009,71:1 275-1 287.
  • 3Sun J J,Tang C L. Existence and multiplicity of solutions for Krichhoff type equations[J]. Nonlinear Anal, 2011,74:1 212-1 222.

同被引文献19

  • 1Anmin Mao,Zhitao Zhang.Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition[J]. Nonlinear Analysis . 2008 (3)
  • 2Zhitao Zhang,Kanishka Perera.Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow[J]. Journal of Mathematical Analysis and Applications . 2005 (2)
  • 3Zuji Guo.??Ground states for Kirchhoff equations without compact condition(J)Journal of Differential Equations . 2015 (7)
  • 4MOSER J.A sharp form of an inequality by N.Trudinger. J Indiana Univ Math . 1970
  • 5D. G. Figueiredo,O. H. Miyagaki,B. Ruf.??Elliptic equations in R 2 with nonlinearities in the critical growth range(J)Calculus of Variations and Partial Differential Equations . 1995 (2)
  • 6Gongbao Li,Hongyu Ye.??Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in R 3(J)Journal of Differential Equations . 2014 (2)
  • 7Hui Zhang,Fubao Zhang.??Ground states for the nonlinear Kirchhoff type problems(J)Journal of Mathematical Analysis and Applications . 2014
  • 8Wei Shuai.??Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains(J)Journal of Differential Equations . 2015 (4)
  • 9Qilin Xie,Shiwang Ma.??Existence and concentration of positive solutions for Kirchhoff-type problems with a steep well potential(J)Journal of Mathematical Analysis and Applications . 2015 (2)
  • 10Xiaoming He,Wenming Zou.??Existence and concentration behavior of positive solutions for a Kirchhoff equation in R 3(J)Journal of Differential Equations . 2011 (2)

引证文献1

二级引证文献1

太原师范学院学报（自然科学版）
2011年 第4期

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