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

Limin Guo; Jiafa Xu; Donal O'Regan; Limin Guo; Jiafa Xu; Donal O'Regan

doi:10.3934/math.2023053

AIMS Mathematics

2023, Volume 8, Issue 1: 1072-1089. doi: 10.3934/math.2023053

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Research article

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

1.
School of Science, Changzhou Institute of Technology, Liaohe, Changzhou 213002, 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

Received: 31 August 2022 Revised: 30 September 2022 Accepted: 12 October 2022 Published: 17 October 2022
MSC : 34B16, 34B25, 35J57

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.
- system of elliptic equations,
- boundary value problem,
- positive radial solution,
- fixed point index
Citation: Limin Guo, Jiafa Xu, Donal O'Regan. Positive radial solutions for a boundary value problem associated to a system of elliptic equations with semipositone nonlinearities[J]. AIMS Mathematics, 2023, 8(1): 1072-1089. doi: 10.3934/math.2023053

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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.

References

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