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New fixed point theorems and applications to boundary value problems with -Laplacian

โœ Scribed by Chunyan Xue; Weigao Ge

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
227 KB
Volume
53
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

We obtain a new fixed point theorem in cone, which extend the Krasnosel'skii's compression-expansion theorem in cones. Under a quite relaxed condition two theorems for the existence of positive solutions of p-Laplacian boundary value problems are proved.

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โœ Dehong Ji; Yitao Yang; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

This work deals with the existence of triple positive pseudo-symmetric solutions for the one-dimensional p-Laplacian where ฯ† p (s) = |s| p-2 โ€ข s, p > 1. By means of a fixed point theorem due to Avery and Peterson, sufficient conditions are obtained that guarantee the existence of at least three pos