期刊文献+

一类p-Laplacian方程组边值问题的正解

Positive Solutions for a Class of Boundary Value Problem of p-Laplacian Equations
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摘要 讨论了一类具有p-Laplacian算子的方程组的边值问题,并利用不动点指数定理,建立了满足初值条件的一个正解的存在性条件,改进和推广了相关文献中的一些结论。 A class of boundary value problem of p-Laplacian equations is discussed in this paper.Using the fixed-point theorem,the conditions of the existence of one positive solution are established.Some recent results in relative articles are extended and improved.
作者 王伟
出处 《新乡学院学报》 2010年第5期9-10,共2页 Journal of Xinxiang University
关键词 P-LAPLACIAN算子 正解 边值问题 p-Laplacian operator positive solution boundary value problem
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参考文献4

二级参考文献45

  • 1白定勇,马如云.p-Laplacian算子型奇异边值问题的正解[J].数学物理学报(A辑),2005,25(2):166-170. 被引量:16
  • 2Wang Junyu.The existence of positive solutions for the one-dimensional p-Laplacian.Proc Amer Math Soc,1997,125:2275-2283.
  • 3Erbe L H,Wang Haiyan.On the existence of positive solutions of ordinary differential equations.Proc Amer Math Soc,1994,120(3):743-748.
  • 4Wong Fu Hsiang.Existence of positive solutions for m-Laplacian BVPs.Appl Math Letters,1999,12:11-17.
  • 5Wang J Y,Gao W J.A singular boundary value problem for the one-dimensional p-Laplacian.J Math Anal Appl,1996,201:851-866.
  • 6Leggett R W,Williams L R.Multiple positive fixed points of nonlinear operators on ordered Banach spaces.Indiana Univ Math J,1979,28:673-688.
  • 7Liu B , Yu J S. Multiple positive solutions of singular boundary value problems with p-Laplacian, Chinese Annals of Mathematics, 2001, 22A(6): 721-728 (in Chinese).
  • 8Deimling K. Nonlinear functional analysis, New York: Springer, 1985.
  • 9Guo D J. Nonlinear functional analysis, Jinan: Shandong Sci and Tech Press, 1985 (in Chinese).
  • 10Bandle C, Coffmand C V, Marcus M, Nonlinear elliptic problems in annular domains, J Diff Eqs, 1987,69: 322-345.

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