Positive solutions for a class of phi-Laplacian differential systems with multiple parameters
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Date
2022-01-05
Authors
Yu, Xiaozhu
Jing, Shiwen
Lian, Hairong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the double eigenvalue problem for a φ-Laplacian differential system. We prove the existence of positive solutions under the φ-super-linear condition by means of the Guo-Krasnosel'skii fixed point theorem and the topological degree. It is shown that there exists a continuous curve splitting ℝ2+ \ {(0, 0)} into disjoint subsets such that systems has at least two, at least one, or no positive solutions according to parameters in different subsets.
Description
Keywords
phi-Laplacian differential systems, Eigenvalue, Fixed point theorem, Degree theory, Positive solution
Citation
Yu, X., Jing, S., & Lian, H. (2022). Positive solutions for a class of phi-Laplacian differential systems with multiple parameters. <i>Electronic Journal of Differential Equations, 2022</i>(01), pp. 1-13.