Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension p-laplacian problems

Chengjun Yuan; Daqing Jiang; Donal O'Regan

Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension p-laplacian problems

Chengjun Yuan
, Daqing Jiang
, Donal O'Regan

Mathematics

Northeast Normal University

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

2 Citations (Scopus)

Abstract

Using the mixed monotone method, we establish the existence and uniqueness of positive solutions for singular continuous and discrete p-Laplacian boundary value problems. The theorems obtained are very general and complement previous known results.

Original language	English
Pages (from-to)	31-46
Number of pages	16
Journal	Panamerican Mathematical Journal
Volume	18
Issue number	3
Publication status	Published - Jul 2008

Keywords

Existence
P-Laplacian boundary value problems
Positive solutions
Singular
Uniqueness

Cite this

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title = "Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension p-laplacian problems",

abstract = "Using the mixed monotone method, we establish the existence and uniqueness of positive solutions for singular continuous and discrete p-Laplacian boundary value problems. The theorems obtained are very general and complement previous known results.",

keywords = "Existence, P-Laplacian boundary value problems, Positive solutions, Singular, Uniqueness",

author = "Chengjun Yuan and Daqing Jiang and Donal O'Regan",

year = "2008",

month = jul,

language = "English",

volume = "18",

pages = "31--46",

journal = "Panamerican Mathematical Journal",

issn = "1064-9735",

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T1 - Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension p-laplacian problems

AU - Yuan, Chengjun

AU - Jiang, Daqing

AU - O'Regan, Donal

PY - 2008/7

Y1 - 2008/7

N2 - Using the mixed monotone method, we establish the existence and uniqueness of positive solutions for singular continuous and discrete p-Laplacian boundary value problems. The theorems obtained are very general and complement previous known results.

AB - Using the mixed monotone method, we establish the existence and uniqueness of positive solutions for singular continuous and discrete p-Laplacian boundary value problems. The theorems obtained are very general and complement previous known results.

KW - Existence

KW - P-Laplacian boundary value problems

KW - Positive solutions

KW - Singular

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/51249105963

M3 - Article

AN - SCOPUS:51249105963

SN - 1064-9735

VL - 18

SP - 31

EP - 46

JO - Panamerican Mathematical Journal

JF - Panamerican Mathematical Journal

IS - 3

ER -

Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension p-laplacian problems

Abstract

Keywords

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