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Existence, Multiplicity and Infinite Solvability of Positive Solutions for One-Dimensional p-Laplacian
引用本文:Qing Liu YAO. Existence, Multiplicity and Infinite Solvability of Positive Solutions for One-Dimensional p-Laplacian[J]. 数学学报(英文版), 2005, 21(4): 691-698. DOI: 10.1007/s10114-004-0401-8
作者姓名:Qing Liu YAO
作者单位:Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, P. R. China
摘    要:

关 键 词:Laplacian算子 正解 存在性 多样性 无限解
收稿时间:2001-10-08
修稿时间:2001-10-082002-03-27

Existence, Multiplicity and Infinite Solvability of Positive Solutionsfor One–Dimensional p–Laplacian
Qing Liu Yao. Existence, Multiplicity and Infinite Solvability of Positive Solutionsfor One–Dimensional p–Laplacian[J]. Acta Mathematica Sinica(English Series), 2005, 21(4): 691-698. DOI: 10.1007/s10114-004-0401-8
Authors:Qing Liu Yao
Affiliation:(1) Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, P. R. China
Abstract:The existence, multiplicity and infinite solvability of positive solutions are established for some two-point boundary value problems of one-dimensional p-Laplacian. In this paper, by multiplicity we mean the existence of m solutions, where m is an arbitrary natural number.
Keywords:One-dimensional p-Laplacian   Positive solution   Existence   Multiplicity   Infinite solvability
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