Positive solutions of three-point boundary value problems for higher-order <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Laplacian with infinitely many singularities

Xu, Fuyi; Wu, Yonghong; Liu, Lishan; Zhou, Yunming

doi:https://doi.org/10.1155/DDNS/2006/69073

Discrete Dynamics in Nature and Society

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Volume 2006 | Article ID 069073 | https://doi.org/10.1155/DDNS/2006/69073

Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities

Fuyi Xu,¹Yonghong Wu,²Lishan Liu,³and Yunming Zhou¹

Received15 Mar 2006

Accepted10 May 2006

Published27 Nov 2006

Abstract

We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.

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Copyright

Copyright © 2006 Fuyi Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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