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一类含有p-Laplacian算子的奇异边值问题解的确切个数 被引量：5

EXACT NUMBER OF SOLUTIONS FOR p-LAPLACIAN IN SOME SINGULAR BOUNDARY VALUE PROBLEMS
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摘要 本文讨论了一类含有p—Laplacian算子的奇异边值问题正解的确切个数以及解的性质. This paper establishes the exact multiplicities and properties of positive solutions for p-Laplacian in some singular boundary value problems.
作者 韦忠礼 庞常词
机构地区 山东大学数学与系统科学学院 山东建筑工程学院数理系
出处 《数学年刊（A辑）》 CSCD 北大核心 2004年第2期207-216,共10页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.A0324616)资助的项目.
关键词 奇异边值问题 正解 解的准确结构 解的性质 Singular boundary value problem, Positive solution, Exact structure of all solutions, Properties of solutions
分类号 O177 [理学—基础数学]
  • 相关文献

参考文献15

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同被引文献35

  • 1刘斌.具p-Laplacian算子型奇异方程组边值问题正解的存在性[J].数学学报（中文版）,2005,48(1):35-50. 被引量：13
  • 2庞常词,韦忠礼.一类含有p-Laplacian算子的微分方程正解的确切个数[J].数学学报（中文版）,2005,48(6):1203-1208. 被引量：2
  • 3Karatson J and Simon P L. Exact multiplicity for degenerate two-point boundary value problems with p-convex nonlinearity. Nonlinear Analysis, 2003, 52: 1569-1590.
  • 4Idris Addou and Wang Shin-Hwa. Exact multiplicity results for a p-Laplacian problems with concave-convex-concave nonlinearities. Nonlinear Analysis, 2003, 53: 111-137.
  • 5Cheng Jiangang. Uniqueness results for the one-dimensional p-Laplacian. J. Math. Anal. Appl., 2005, 311(2): 381-388.
  • 6Wei Zhongli and Pang Changci. Exact structure of positive solutions for some p-Laplacian equations. J. Math. Anal. Appl., 2005, 301(1): 52-64.
  • 7Liu Zhaoli. Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities. Nonlinear Analysis, 2001, 46(2): 181-197.
  • 8Liu Zhaoli and Zhang Xuemei. A class of two point boundary value problems. J. Math. Anal. Appl., 2001, 254(2): 599-617.
  • 9Cheng Jiangang. Exact number of positive solutions for a class of semipositone problems. J. Math. Anal. Appl., 2003, 280(2): 199-210.
  • 10Wang S,Yeh T.A complete classification of bifurcation diagrams of a Dirichlet problem with concave-convex nonlinearities[J].J Math Anal Appl,2004,291:128～153.

引证文献5

二级引证文献3

数学年刊（A辑）
2004年 第2期

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