Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems

Boying Wu; Renhao Cui

doi:10.1186/1687-2770-2013-74

Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems

Boying Wu
, Renhao Cui^*

^*Corresponding author for this work

School of Mathematics

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

3 Scopus citations

Abstract

In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear conditions. Moreover, we obtain the precise global bifurcation diagrams of the system in a single monotone solution curve.

Original language	English
Article number	74
Journal	Boundary Value Problems
Volume	2013
DOIs	https://doi.org/10.1186/1687-2770-2013-74
State	Published - 2013

Keywords

Existence
Positive solution
Semilinear elliptic systems
Stability
Uniqueness

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10.1186/1687-2770-2013-74

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title = "Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems",

abstract = "In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear conditions. Moreover, we obtain the precise global bifurcation diagrams of the system in a single monotone solution curve.",

keywords = "Existence, Positive solution, Semilinear elliptic systems, Stability, Uniqueness",

author = "Boying Wu and Renhao Cui",

year = "2013",

doi = "10.1186/1687-2770-2013-74",

language = "英语",

volume = "2013",

journal = "Boundary Value Problems",

issn = "1687-2762",

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TY - JOUR

T1 - Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems

AU - Wu, Boying

AU - Cui, Renhao

PY - 2013

Y1 - 2013

N2 - In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear conditions. Moreover, we obtain the precise global bifurcation diagrams of the system in a single monotone solution curve.

AB - In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear conditions. Moreover, we obtain the precise global bifurcation diagrams of the system in a single monotone solution curve.

KW - Existence

KW - Positive solution

KW - Semilinear elliptic systems

KW - Stability

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/84887887504

U2 - 10.1186/1687-2770-2013-74

DO - 10.1186/1687-2770-2013-74

M3 - 文章

AN - SCOPUS:84887887504

SN - 1687-2762

VL - 2013

JO - Boundary Value Problems

JF - Boundary Value Problems

M1 - 74

ER -

Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems

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Keywords

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