Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities and nonlinear boundary data

Haishen Lü; Donal O'Regan; Ravi P. Agarwal

doi:10.13025/24620

Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities and nonlinear boundary data

Haishen Lü
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

Hohai University
Department of Mathematical Sciences

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

8 Citations (Scopus)

Abstract

This paper presents existence results for singular p-Laplacian equations with nonlinear boundary data. Our nonlinearity f (t, u) in the differential equation is allowed to change sign and the singularity may occur at u = 0, t = 0 and t = 1. (c) 2004 Elsevier B.V. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	442-466
Number of pages	25
Journal	Journal Of Computational And Applied Mathematics
Volume	181
Issue number	2
DOIs	https://doi.org/10.13025/24620 https://doi.org/10.1016/j.cam.2004.11.037
Publication status	Published - 1 Sep 2005

Keywords

One dimensional p-Laplacian
Positive solution
Upper and lower solution

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10.13025/24620Licence: CC BY-NC-ND
10.1016/j.cam.2004.11.037

Cite this

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title = "Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities and nonlinear boundary data",

abstract = "This paper presents existence results for singular p-Laplacian equations with nonlinear boundary data. Our nonlinearity f (t, u) in the differential equation is allowed to change sign and the singularity may occur at u = 0, t = 0 and t = 1. (c) 2004 Elsevier B.V. All rights reserved.",

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AU - Lü, Haishen

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - This paper presents existence results for singular p-Laplacian equations with nonlinear boundary data. Our nonlinearity f (t, u) in the differential equation is allowed to change sign and the singularity may occur at u = 0, t = 0 and t = 1. (c) 2004 Elsevier B.V. All rights reserved.

AB - This paper presents existence results for singular p-Laplacian equations with nonlinear boundary data. Our nonlinearity f (t, u) in the differential equation is allowed to change sign and the singularity may occur at u = 0, t = 0 and t = 1. (c) 2004 Elsevier B.V. All rights reserved.

KW - One dimensional p-Laplacian

KW - Positive solution

KW - Upper and lower solution

UR - http://hdl.handle.net/10379/9454

UR - https://www.scopus.com/pages/publications/19144362782

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DO - 10.13025/24620

M3 - Article

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EP - 466

JO - Journal Of Computational And Applied Mathematics

JF - Journal Of Computational And Applied Mathematics

IS - 2

ER -

Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities and nonlinear boundary data

Abstract

Keywords

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