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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2020 Volume 13, Issue 2, Pages 151–159 (Mi jsfu827)

This article is cited in 3 papers

Singular quasilinear elliptic systems with (super-) homogeneous condition

Hana Didia, Brahim Khodjaa, Abdelkrim Moussaouib

a Badji-Mokhtar Annaba University, Annaba, Algeria
b A. Mira Bejaia University, Bejaia, Algeria

Abstract: In this paper we establish existence, nonexistence and regularity of positive solutions for a class of singular quasilinear elliptic systems subject to (super-) homogeneous condition. The approach is based on sub-supersolution methods for systems of quasilinear singular equations combined with perturbation arguments involving singular terms.

Keywords: singular system, $p$-Laplacian, sub-supersolution, regularity.

UDC: 517.9

Received: 02.10.2019
Received in revised form: 09.12.2019
Accepted: 16.01.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-2-151-159



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