Uniqueness of steady state positive solutions to a general elliptic system with Dirichlet boundary conditions

Joon Hyuk Kang

doi:10.11948/20210500

Uniqueness of steady state positive solutions to a general elliptic system with Dirichlet boundary conditions

Joon Hyuk Kang

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this paper is to give conditions for the uniqueness of positive solution to a rather general type of elliptic system of the Dirichlet problem on a bounded domain Ω in Rn. Also considered are the effects of perturbations on the coexistence state and uniqueness.

Original language	American English
Pages (from-to)	2370-2385
Journal	Journal of Applied Analysis & Computation
Volume	12
Issue number	6
DOIs	https://doi.org/10.11948/20210500
State	Published - Dec 14 2022

Keywords

coexistence
cooperating species of animals

Disciplines

Applied Mathematics

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10.11948/20210500License: Unspecified

Uniqueness of steady state positive solutions to a general elliptFinal published version, 216 KBLicense: Unspecified

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title = "Uniqueness of steady state positive solutions to a general elliptic system with Dirichlet boundary conditions",

abstract = "The purpose of this paper is to give conditions for the uniqueness of positive solution to a rather general type of elliptic system of the Dirichlet problem on a bounded domain Ω in Rn. Also considered are the effects of perturbations on the coexistence state and uniqueness.",

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author = "Kang, \{Joon Hyuk\}",

year = "2022",

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doi = "10.11948/20210500",

language = "American English",

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AU - Kang, Joon Hyuk

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N2 - The purpose of this paper is to give conditions for the uniqueness of positive solution to a rather general type of elliptic system of the Dirichlet problem on a bounded domain Ω in Rn. Also considered are the effects of perturbations on the coexistence state and uniqueness.

AB - The purpose of this paper is to give conditions for the uniqueness of positive solution to a rather general type of elliptic system of the Dirichlet problem on a bounded domain Ω in Rn. Also considered are the effects of perturbations on the coexistence state and uniqueness.

KW - coexistence

KW - cooperating species of animals

UR - https://digitalcommons.andrews.edu/pubs/4681

U2 - 10.11948/20210500

DO - 10.11948/20210500

M3 - Article

VL - 12

SP - 2370

EP - 2385

JO - Journal of Applied Analysis & Computation

JF - Journal of Applied Analysis & Computation

IS - 6

ER -

Uniqueness of steady state positive solutions to a general elliptic system with Dirichlet boundary conditions

Abstract

Keywords

Disciplines

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