Multiple Positive Solutions for One-dimensional P-Laplacian Boundary Value Problems
By means of the Leggett-Williams fixed-point theorem, criteria are developed for the existence of at least three positive solutions to the one-dimensional p-Laplacian boundary value problem, (ϕ(y′))′ + g(t)f(t,y) = 0, y(0) - B0(y′(0)) = 0, y(1) + B1(y′(1)) = 0, where ϕ(v) ≔ |v|p−2v, p > 1.
X. He et al., "Multiple Positive Solutions for One-dimensional P-Laplacian Boundary Value Problems," Applied Mathematics Letters, Elsevier, Jan 2002.
The definitive version is available at https://doi.org/10.1016/S0893-9659(02)00067-8
Mathematics and Statistics
Keywords and Phrases
positive solutions; concavity; p-Laplacian operator; Laggett-Williams fixed-point theorem
Article - Journal
© 2002 Elsevier, All rights reserved.