Positive solutions of singular multiparameter p-Laplacian elliptic systems | Zendy

Meiqiang Feng | Zendy; Yichen Zhang | Zendy

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Positive solutions of singular multiparameter <i>p</i>-Laplacian elliptic systems

Author(s) -

Meiqiang Feng,

Yichen Zhang

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - 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.

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