Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation
Date
2017-04-21
Authors
Kajikiya, Ryuji
Tanaka, Mieko
Tanaka, Satoshi
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of bifurcation diagrams. As a consequence, we prove the existence of multiple positive solutions and show the uniqueness of positive solutions for a bifurcation parameter in a certain range.
Description
Keywords
Bifurcation, Positive solution, (p,q)-Laplace equation, Time map, Multiple solutions
Citation
Kajikiya, R., Tanaka, M., & Tanaka, S. (2017). Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation. <i>Electronic Journal of Differential Equations, 2017</i>(107), pp. 1-37.
Rights
Attribution 4.0 International