NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

Haiyan Zhang; Jiafa Xu; Donal O'Regan

doi:10.11948/20210232

2022 Volume 12 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2022 > 12(6): 2208-2219

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Haiyan Zhang, Jiafa Xu, Donal O'Regan. NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2208-2219. doi: 10.11948/20210232

Citation:

Haiyan Zhang, Jiafa Xu, Donal O'Regan. NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2208-2219. doi: 10.11948/20210232

NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

1.
School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China
2.
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
3.
School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland

Author Bio: Email address: liz.zhang@yeah.net(H. Zhang); Email address: donal.oregan@nuigalway.ie(D. O'Regan)
Corresponding author: Email address: xujiafa292@sina.com(J.Xu)
Fund Project: The authors were supported by Foundation of Anhui Provincial Education Department (Nos. KJ2020A0735, KJ2021ZD0136), Natural Science Foundation of Chongqing (cstc2020jcyj-msxmX0123), Technology Research Foundation of Chongqing Educational Committee(KJQN202000528, KJQN201900539), the open project of key laboratory (CSSXKFKTM202003), School of Mathematical Sciences, Chongqing Normal University

Abstract

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.
- Elliptic equations /
- nontrivial radial solutions /
- topological degree /
- Krein-Rutman theorem
MSC: 34B18, 34B15, 35J25, 35J60, 47H11, 47N20

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References

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