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Global Existence of Multiple Positive Solutions for Two-point Boundary Value Problems for p-Laplacian System
by
Eun Kyoung Lee
Department of Mathematics, Pusan National University, Pusan 609-735, Korea
In this talk, we consider the existence, nonexistence and multiplicity of positive solutions for two-point boundary value problems of p-Laplacian systems which have a singular indefinite weight and real multiparameters. For proofs, we mainly make use of upper and lower solution method and fixed point index theorems. To obtain a global multiplicity result, we construct a certain weighted space as a solution space.
Date received: August 27, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-41.