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Triple positive pseudo-symmetric solutions to a four-point boundary value problem with p-Laplacian

✍ Scribed by Dehong Ji; Yitao Yang; Weigao Ge

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 187 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.03.019

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✦ Synopsis

This work deals with the existence of triple positive pseudo-symmetric solutions for the one-dimensional p-Laplacian

where φ p (s) = |s| p-2 • 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 positive pseudo-symmetric solutions to the above boundary value problem. The interesting point is that the nonlinear term is involved with the first-order derivative explicitly.

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