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具有Dirichlet边界条件的一类拟线性椭圆方程组的多重解的存在性 被引量：1

Existence of Multiple Solutions for a Class of Quasilinear Elliptic Systems with Dirichlet Boundary Condition
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摘要 运用Ricceri三临界点定理,研究了一类具有Dirichlet边界条件的拟线性椭圆方程组问题,证明了该方程组在其非线性项满足某些新的条件时至少存在三个解. Existence and multiplicity results for quasilinear elliptic systems with variational structure have been broadly investigated.By using Ricceri＇s three critical points theorem,established the existence of at least three weak solutions to the Dirichlet boundary value problem.
作者 闪海丽 沈自飞
机构地区 浙江师范大学数理与信息工程学院
出处 《应用泛函分析学报》 CSCD 2011年第2期154-160,共7页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(10771141) 浙江省自然科学基金(Y7080008)
关键词 Ricceri三临界点定理 拟线性椭圆方程组 变分法 three-critical-points theorem quasilinear elliptic system variational method
分类号 O175.25 [理学—基础数学]
  • 相关文献

参考文献8

  • 1LIU Jingjing, SHI Xiayang. Existence of three solutions for a class of quasilinear elliptic systems involving the (p(x), q(x))-Laplacian[J]. Nonlinear Anal, 2009, 71:550 -557.
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二级参考文献9

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同被引文献9

  • 1陈劲,赵富坤.某类非自治二阶系统具鞍点特征的周期解的存在性[J].宁夏大学学报（自然科学版）,2006,27(4):305-307. 被引量：2
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  • 3C.Tang.Periodic Solutions For Nonauto-nomous Sec-ond Order System With Subli- near nonlinearity[J] . Proc.Amer. Math. Soc.11(126) (1998):3263-3270.
  • 4X.Wu,F.Zhao.Saddle Point Characteriz- ation of So lutions for Nonautonomous Second Order System s[J].Nonlinear Anal.54(2003):1-7.
  • 5Nurbek Aizmahin, Tianqing An. The existence of periodic solutions of non- autonomous second-order Hamiltonian systems[J]. Nonlinear Analysis: Theory,Methods & Applications, 2011, 74(14): 4862- 4867.
  • 6X wu. Saddle point characterization and multiplicity of periodic solutions of non-autonomous second order systems [J]. Nonlinear Analysis: Theory, Methods&Applica tions, 2004, 58 (7- 8): 899- 907.
  • 7H.Amann,Saddle Points and Mutiple Solutions of Differential Equat-ions[J].Math.Z.169(1979) : 127-166.
  • 8Gabriele Bonannao. A minimax inequ- ality and its applications to ordinary differential equations [ J].JMath Anal Appl, 2002, 270(1) :210-229.
  • 9许万银.一类拟线性Neumann问题的多重解[J].山东大学学报（理学版）,2009,44(10):39-42. 被引量：2

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应用泛函分析学报
2011年 第2期

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