POSITIVE SOLUTIONS OF THREE-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER p-LAPLACIAN WITH INFINITELY MANY SINGULARITIES

POSITIVE SOLUTIONS OF THREE-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER p-LAPLACIAN WITH INFINITELY MANY SINGULARITIES

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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Veröffentlicht in:Discrete Dynamics in Nature and Society 2006-01, Vol.2006, p.496-507
Hauptverfasser: Xu, Fuyi, Wu, Yonghong, Liu, Lishan, Zhou, Yunming
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/DDNS/2006/69073