带p-Laplacian算子三点四阶奇异边值问题的多解

doi:10.3976/j.issn.1002-4026.2013.01.002

J4 ›› 2013, Vol. 26 ›› Issue (1): 6-9.doi: 10.3976/j.issn.1002-4026.2013.01.002

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Existence of multiple solutions of a fourth-order three-point boundary value problem with a p-Laplacian operator

GUO Huan, HOU Wen-Ying, LU Hui-Qin

School of Mathematics, Shandong Normal University, Jinan 250014, China

Received:2012-04-12 Published:2013-02-20 Online:2013-02-20

Abstract

Abstract:

Abstract∶This paper employs the theory of fixed point index to investigate the existence of two positive solutions for a class of fourth-order three-point singular boundary value problems with a p-Laplacian operator. The paper also presents some sufficient conditions that at least two positive solutions exist. Our work improves some recently known results.

Key words: p-Laplacian, singular boundary value problem, positive solution, fixed point index

CLC Number:

O175.8

GUO Huan, HOU Wen-Ying, LU Hui-Qin. Existence of multiple solutions of a fourth-order three-point boundary value problem with a p-Laplacian operator[J].J4, 2013, 26(1): 6-9.

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Existence of multiple solutions of a fourth-order three-point boundary value problem with a p-Laplacian operator

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