Open AccessPositive solutions of singular multiparameter <i>p</i>-Laplacian elliptic systems
Author(s) -
Meiqiang Feng,
Yichen Zhang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021083
Subject(s) - uniqueness , mathematics , multiplicity (mathematics) , eigenvalues and eigenvectors , p laplacian , laplace operator , mathematical analysis , pure mathematics , physics , quantum mechanics , boundary value problem
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.