Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

Siegfried Carl; Joseph W. Jerome

doi:10.1016/S0362-546X(01)00865-3

Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

Siegfried Carl^*, Joseph W. Jerome

^*Corresponding author for this work

Mathematics

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

11 Scopus citations

Abstract

The trapping region for discontinuous quasilinear elliptic systems of mixed monotone type was investigated. An elliptic system under mixed boundary conditions was considered for the purpose. The compactness of the solution set enclosed by the trapping region was proved using variational inequalities, truncation and comparison techniques.

Original language	English (US)
Pages (from-to)	843-863
Number of pages	21
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	51
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(01)00865-3
State	Published - Nov 2002

Keywords

Competing and cooperating systems
Discontinuous vector fields
Quasilinear elliptic systems
Systems of variational inequalities
Tarski fixed point theorem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00865-3

Cite this

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title = "Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type",

abstract = "The trapping region for discontinuous quasilinear elliptic systems of mixed monotone type was investigated. An elliptic system under mixed boundary conditions was considered for the purpose. The compactness of the solution set enclosed by the trapping region was proved using variational inequalities, truncation and comparison techniques.",

keywords = "Competing and cooperating systems, Discontinuous vector fields, Quasilinear elliptic systems, Systems of variational inequalities, Tarski fixed point theorem",

author = "Siegfried Carl and Jerome, {Joseph W.}",

year = "2002",

month = nov,

doi = "10.1016/S0362-546X(01)00865-3",

language = "English (US)",

volume = "51",

pages = "843--863",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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publisher = "Elsevier Limited",

number = "5",

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TY - JOUR

T1 - Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

AU - Carl, Siegfried

AU - Jerome, Joseph W.

PY - 2002/11

Y1 - 2002/11

N2 - The trapping region for discontinuous quasilinear elliptic systems of mixed monotone type was investigated. An elliptic system under mixed boundary conditions was considered for the purpose. The compactness of the solution set enclosed by the trapping region was proved using variational inequalities, truncation and comparison techniques.

AB - The trapping region for discontinuous quasilinear elliptic systems of mixed monotone type was investigated. An elliptic system under mixed boundary conditions was considered for the purpose. The compactness of the solution set enclosed by the trapping region was proved using variational inequalities, truncation and comparison techniques.

KW - Competing and cooperating systems

KW - Discontinuous vector fields

KW - Quasilinear elliptic systems

KW - Systems of variational inequalities

KW - Tarski fixed point theorem

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UR - http://www.scopus.com/inward/citedby.url?scp=0036833137&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(01)00865-3

DO - 10.1016/S0362-546X(01)00865-3

M3 - Article

AN - SCOPUS:0036833137

SN - 0362-546X

VL - 51

SP - 843

EP - 863

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

Abstract

Keywords

ASJC Scopus subject areas

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