Structure of positive solution sets of sub-linear semi-positone operator equations

Xian Xu; Donal O'Regan

doi:10.1007/s11117-011-0131-y

Structure of positive solution sets of sub-linear semi-positone operator equations

Xian Xu, Donal O'Regan

Mathematics

Jiangsu Normal University

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

Abstract

In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results.

Original language	English
Pages (from-to)	603-618
Number of pages	16
Journal	Positivity
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s11117-011-0131-y
Publication status	Published - Dec 2012

Keywords

Global bifurcation theories
Structure of positive solutions set
Sub-linear operator

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10.1007/s11117-011-0131-y

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title = "Structure of positive solution sets of sub-linear semi-positone operator equations",

abstract = "In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results.",

keywords = "Global bifurcation theories, Structure of positive solutions set, Sub-linear operator",

author = "Xian Xu and Donal O'Regan",

year = "2012",

month = dec,

doi = "10.1007/s11117-011-0131-y",

language = "English",

volume = "16",

pages = "603--618",

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T1 - Structure of positive solution sets of sub-linear semi-positone operator equations

AU - Xu, Xian

AU - O'Regan, Donal

PY - 2012/12

Y1 - 2012/12

N2 - In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results.

AB - In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results.

KW - Global bifurcation theories

KW - Structure of positive solutions set

KW - Sub-linear operator

UR - https://www.scopus.com/pages/publications/84869137856

U2 - 10.1007/s11117-011-0131-y

DO - 10.1007/s11117-011-0131-y

M3 - Article

SN - 1385-1292

VL - 16

SP - 603

EP - 618

JO - Positivity

JF - Positivity

IS - 4

ER -

Structure of positive solution sets of sub-linear semi-positone operator equations

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Keywords

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