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具有p-Laplace的非线性特征值问题的多重解

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摘要 利用变分方法和B.Ricceri三临界点定理,获得了具有p-Laplace的非线性特征值问题 {-(|u′(t)|^p-2u′(t))′+|u(t)|^p-2u(t)=λf(u(t)),0〈t〈1, u(0)=u(1)=0 至少存在3个弱解的充分条件.推广了现有文献的结果.
作者 完巧玲
机构地区 陇东学院数学系
出处 《数学教学研究》 2008年第11期52-55,共4页
基金 甘肃省高校研究生导师科研基金资助项目(0710-04)
  • 相关文献

参考文献11

  • 1熊明,刘嘉荃,曾平安.一维p-Laplacian方程的两点奇异边值问题正解的存在性[J].数学物理学报(A辑),2007,27(3):549-558. 被引量:7
  • 2陈爱永,黄文韬.一个二阶非线性微分方程的边值问题[J].长江大学学报(自科版)(上旬),2007,4(1):17-18. 被引量:1
  • 3熊明,王绍荣.一维p-Laplacian方程奇异边值问题的正解[J].数学学报(中文版),2006,49(1):161-168. 被引量:9
  • 4B. Ricceri.On a three critical points theorem[J].Archiv der Mathematik.2000(3)
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二级参考文献15

  • 1Hardy G. H., Littlewood J. E., Polya G., Inequalities, Cambrridge: Cambrridge University Press 2nd Edition,1952.
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  • 9Liu Jiaquan,Xiong Ming,Zeng Pingan.Positive solutions for singular boundary problem of second order.(preprint)
  • 10Yao Qingliu,Lü Haich.Positive solution of one-dimensional singular p-Laplace equations.Acta Math (in Chinese),1998,41:1255-1264

共引文献13

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