NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

Haiyan Zhang; Jiafa Xu; Donal O’regan

doi:10.11948/20210232

NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

Haiyan Zhang
, Jiafa Xu
, Donal O’regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.

Original language	English
Pages (from-to)	2208-2219
Number of pages	12
Journal	Journal of Applied Analysis and Computation
Volume	12
Issue number	6
DOIs	https://doi.org/10.11948/20210232
Publication status	Published - 2022

Keywords

Elliptic equations
Krein-Rutman theorem
nontrivial radial solutions
topological degree

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10.11948/20210232

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@article{5863ce109a514ab0ace47884e0f09ce8,

title = "NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS",

abstract = "In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.",

keywords = "Elliptic equations, Krein-Rutman theorem, nontrivial radial solutions, topological degree",

author = "Haiyan Zhang and Jiafa Xu and Donal O{\textquoteright}regan",

year = "2022",

doi = "10.11948/20210232",

language = "English",

volume = "12",

pages = "2208--2219",

journal = "Journal of Applied Analysis and Computation",

issn = "2156-907X",

publisher = "Wilmington Scientific Publisher",

number = "6",

}

TY - JOUR

T1 - NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

AU - Zhang, Haiyan

AU - Xu, Jiafa

AU - O’regan, Donal

PY - 2022

Y1 - 2022

N2 - In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.

AB - In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.

KW - Elliptic equations

KW - Krein-Rutman theorem

KW - nontrivial radial solutions

KW - topological degree

UR - https://www.scopus.com/pages/publications/85142214446

U2 - 10.11948/20210232

DO - 10.11948/20210232

M3 - Article

AN - SCOPUS:85142214446

SN - 2156-907X

VL - 12

SP - 2208

EP - 2219

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 6

ER -

NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

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Keywords

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