EXISTENCE AND MULTIPLICITY OF POSITIVE WEAK SOLUTIONS FOR A NEW CLASS OF (P; Q)-LAPLACIAN SYSTEMS

Rafik Guefaifia; Salah Boulaaras; Jiabin Zuo; Praveen Agarwal

doi:10.18514/MMN.2020.3378

EXISTENCE AND MULTIPLICITY OF POSITIVE WEAK SOLUTIONS FOR A NEW CLASS OF (P; Q)-LAPLACIAN SYSTEMS

Rafik Guefaifia
, Salah Boulaaras
, Jiabin Zuo
, Praveen Agarwal

University of Tebessa
Qassim University
University of Oran 1 Ahmed Ben Bella
Jilin Engineering Normal University
Hohai University
Universidade Estadual de Campinas
International College of Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The paper is concerned with the existence of positive weak solutions for a new class of (p, q)-Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for γ (0), g (0), f (0) and h (0). Moreover, a multiplicity result is obtained when γ (0) = g (0) = f (0) = h (0) = 0. Finally, we give some examples to verify our main results.

Original language	English
Pages (from-to)	861-872
Number of pages	12
Journal	Miskolc Mathematical Notes
Volume	21
Issue number	2
DOIs	https://doi.org/10.18514/MMN.2020.3378
State	Published - 2020
Externally published	Yes

Keywords

multiplicity
new elliptic systems: existence
positive solutions
sub-super solutions

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10.18514/MMN.2020.3378

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abstract = "The paper is concerned with the existence of positive weak solutions for a new class of (p, q)-Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for γ (0), g (0), f (0) and h (0). Moreover, a multiplicity result is obtained when γ (0) = g (0) = f (0) = h (0) = 0. Finally, we give some examples to verify our main results.",

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author = "Rafik Guefaifia and Salah Boulaaras and Jiabin Zuo and Praveen Agarwal",

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T1 - EXISTENCE AND MULTIPLICITY OF POSITIVE WEAK SOLUTIONS FOR A NEW CLASS OF (P; Q)-LAPLACIAN SYSTEMS

AU - Guefaifia, Rafik

AU - Boulaaras, Salah

AU - Zuo, Jiabin

AU - Agarwal, Praveen

PY - 2020

Y1 - 2020

N2 - The paper is concerned with the existence of positive weak solutions for a new class of (p, q)-Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for γ (0), g (0), f (0) and h (0). Moreover, a multiplicity result is obtained when γ (0) = g (0) = f (0) = h (0) = 0. Finally, we give some examples to verify our main results.

AB - The paper is concerned with the existence of positive weak solutions for a new class of (p, q)-Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for γ (0), g (0), f (0) and h (0). Moreover, a multiplicity result is obtained when γ (0) = g (0) = f (0) = h (0) = 0. Finally, we give some examples to verify our main results.

KW - multiplicity

KW - new elliptic systems: existence

KW - positive solutions

KW - sub-super solutions

UR - https://www.scopus.com/pages/publications/85099993325

U2 - 10.18514/MMN.2020.3378

DO - 10.18514/MMN.2020.3378

M3 - Article

AN - SCOPUS:85099993325

SN - 1787-2405

VL - 21

SP - 861

EP - 872

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 2

ER -

EXISTENCE AND MULTIPLICITY OF POSITIVE WEAK SOLUTIONS FOR A NEW CLASS OF (P; Q)-LAPLACIAN SYSTEMS

Abstract

Keywords

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