An upper and lower solution method for the one-dimensional singular p–Laplacian

Ravi P. Agarwal; Haishen Lü; Donal O’regan

An upper and lower solution method for the one-dimensional singular p–Laplacian

Ravi P. Agarwal, Haishen Lü, Donal O’regan

Mathematics

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

12 Citations (Scopus)

Abstract

The singular boundary value problem (Formula Presented.) is studied in this paper with ϕ_p (s) = |s|^p−2 s, p > 1. The nonlinearity may be singular at y = 0, t = 0 and t = 1, and the function f may change sign. An upper and lower solution approach is presented.

Original language	English
Pages (from-to)	13-31
Number of pages	19
Journal	Memoirs on Differential Equations and Mathematical Physics
Volume	28
Publication status	Published - 2003

Keywords

Boundary value problem
Positive solution
Upper and lower solutions

Cite this

@article{6c2ddaf014dc4229b5c4bd803331c6bc,

title = "An upper and lower solution method for the one-dimensional singular p–Laplacian",

abstract = "The singular boundary value problem (Formula Presented.) is studied in this paper with ϕp (s) = |s|p−2 s, p > 1. The nonlinearity may be singular at y = 0, t = 0 and t = 1, and the function f may change sign. An upper and lower solution approach is presented.",

keywords = "Boundary value problem, Positive solution, Upper and lower solutions",

author = "Agarwal, \{Ravi P.\} and Haishen L{\"u} and Donal O{\textquoteright}regan",

year = "2003",

language = "English",

volume = "28",

pages = "13--31",

journal = "Memoirs on Differential Equations and Mathematical Physics",

issn = "1512-0015",

publisher = "Andrea Razmadze Mathematical Institute",

}

TY - JOUR

T1 - An upper and lower solution method for the one-dimensional singular p–Laplacian

AU - Agarwal, Ravi P.

AU - Lü, Haishen

AU - O’regan, Donal

PY - 2003

Y1 - 2003

N2 - The singular boundary value problem (Formula Presented.) is studied in this paper with ϕp (s) = |s|p−2 s, p > 1. The nonlinearity may be singular at y = 0, t = 0 and t = 1, and the function f may change sign. An upper and lower solution approach is presented.

AB - The singular boundary value problem (Formula Presented.) is studied in this paper with ϕp (s) = |s|p−2 s, p > 1. The nonlinearity may be singular at y = 0, t = 0 and t = 1, and the function f may change sign. An upper and lower solution approach is presented.

KW - Boundary value problem

KW - Positive solution

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/1942514749

M3 - Article

AN - SCOPUS:1942514749

SN - 1512-0015

VL - 28

SP - 13

EP - 31

JO - Memoirs on Differential Equations and Mathematical Physics

JF - Memoirs on Differential Equations and Mathematical Physics

ER -

An upper and lower solution method for the one-dimensional singular p–Laplacian

Abstract

Keywords

Other files and links

Fingerprint

Cite this