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Research Article | Open Access

Positive radial solutions for a boundary value problem associated to a system of elliptic equations with semipositone nonlinearities

Limin Guo1, Jiafa Xu2( ), Donal O'Regan3
School of Science, Changzhou Institute of Technology, Liaohe, Changzhou 213002, China
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland
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Abstract

In this paper we use the fixed point index theory to study the existence of positive radial solutions for a system of boundary value problems with semipositone second order elliptic equations. Some appropriate concave and convex functions are utilized to characterize coupling behaviors of our nonlinearities.

Keywords

system of elliptic equationsboundary value problempositive radial solutionfixed point index
CLC number: 34B16, 34B25, 35J57

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1072-1089
DOI: 10.3934/math.2023053

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Cite this article:
Guo L, Xu J, O'Regan D. Positive radial solutions for a boundary value problem associated to a system of elliptic equations with semipositone nonlinearities. AIMS Mathematics, 2023, 8(1): 1072-1089. https://doi.org/10.3934/math.2023053

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Received: 31 August 2022
Revised: 30 September 2022
Accepted: 12 October 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)