Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-Laplacian
We study the existence of positive solutions for the equation (φp(u′))′ + e(t) ƒ (u) = 0, where, φp(υ) ≔ |υ|p−2υ, p > 1, subject to nonlinear three-point boundary conditions. We show the existence of at least two positive solutions by using a three-functionals fixed-point theorem in a cone.
X. He, "Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-Laplacian," Applied Mathematics Letters, Elsevier, Jan 2004.
The definitive version is available at https://doi.org/10.1016/j.aml.2004.03.001
Mathematics and Statistics
Keywords and Phrases
P-Laplacian operator; positive solution; fixed points; cone
Article - Journal
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