Positive solutions of singular multiparameter p-Laplacian elliptic systems

Meiqiang Feng; Yichen Zhang

doi:10.3934/dcdsb.2021083

Article Contents

2022, Volume 27, Issue 2: 1121-1147. Doi: 10.3934/dcdsb.2021083

This issue Previous Article Discrete-time dynamics of structured populations via Feller kernels Next Article Mixed Hegselmann-Krause dynamics

Positive solutions of singular multiparameter p-Laplacian elliptic systems

Meiqiang Feng^, and
Yichen Zhang

School of Applied Science, Beijing Information Science & Technology University, Beijing, 100192, China

^* Corresponding author: Meiqiang Feng
^* Corresponding author: Meiqiang Feng

Received: September 2020

Revised: November 2020

Early access: March 2021

Published: February 2022

The first author is supported by the Beijing Natural Science Foundation of China (1212003).

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Abstract

In this paper, by using the eigenvalue theory, the sub-supersolution method and the fixed point theory, we prove the existence, multiplicity, uniqueness, asymptotic behavior and approximation of positive solutions for singular multiparameter p-Laplacian elliptic systems on nonlinearities with separate variables or without separate variables. Various nonexistence results of positive solutions are also studied.

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Mathematics Subject Classification: Primary: 35J60, 35J66; Secondary: 35J92.

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