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

doi:10.3934/math.2023053

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

Mathematics

Chang Zhou Institute of Technology
Chongqing Normal University

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

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1072-1089
Number of pages	18
Journal	AIMS Mathematics
Volume	8
Issue number	1
DOIs	https://doi.org/10.3934/math.2023053
Publication status	Published - 2023

Keywords

boundary value problem
fixed point index
positive radial solution
system of elliptic equations

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10.3934/math.2023053

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

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 = "boundary value problem, fixed point index, positive radial solution, system of elliptic equations",

author = "Limin Guo and Jiafa Xu and Donal O{\textquoteright}regan",

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AU - Guo, Limin

AU - Xu, Jiafa

AU - O’regan, Donal

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Y1 - 2023

N2 - 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.

AB - 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.

KW - boundary value problem

KW - fixed point index

KW - positive radial solution

KW - system of elliptic equations

UR - https://www.scopus.com/pages/publications/85140214227

U2 - 10.3934/math.2023053

DO - 10.3934/math.2023053

M3 - Article

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EP - 1089

JO - AIMS Mathematics

JF - AIMS Mathematics

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ER -

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

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