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Triple symmetric positive solutions for multipoint boundary-value problem with one-dimensional -Laplacian

โœ Scribed by Hanying Feng; Weigao Ge

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
221 KB
Volume
47
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian ฯ† p (u (t)) + q(t) f t, u(t), u (t) = 0, t โˆˆ (0, 1), subject to the boundary conditions:

Applying the fixed point theorem due to Avery and Peterson, we study the existence of at least three symmetric positive solutions to the above boundary value problem. The interesting point is that the nonlinear term f contains the first-order derivative explicitly and the boundary condition is of Sturm-Liouville type.

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