Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities via inequality theory

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

doi:10.13025/24624

Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities via inequality theory

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

Abstract

In this paper, general existence theorems are presented for the singular equation{-(phi(p)(u)) = f(t, u, u), 0 t 1u(0) = u(1) = 0.Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0, t = 0 and t = 1.

Original language	English (Ireland)
Pages (from-to)	439-460
Number of pages	22
Journal	Glasgow Mathematical Journal
Volume	47
Issue number	3
DOIs	https://doi.org/10.13025/24624 https://doi.org/10.1017/s0017089505002697
Publication status	Published - 1 Sep 2005

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10.13025/24624Licence: CC BY-NC-ND
10.1017/s0017089505002697

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title = "Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities via inequality theory",

abstract = "In this paper, general existence theorems are presented for the singular equation\{-(phi(p)(u)) = f(t, u, u), 0 t 1u(0) = u(1) = 0.Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0, t = 0 and t = 1.",

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

year = "2005",

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T1 - Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities via inequality theory

AU - Lü, Haishen

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - In this paper, general existence theorems are presented for the singular equation{-(phi(p)(u)) = f(t, u, u), 0 t 1u(0) = u(1) = 0.Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0, t = 0 and t = 1.

AB - In this paper, general existence theorems are presented for the singular equation{-(phi(p)(u)) = f(t, u, u), 0 t 1u(0) = u(1) = 0.Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0, t = 0 and t = 1.

UR - http://hdl.handle.net/10379/9455

UR - https://www.scopus.com/pages/publications/28244497817

U2 - 10.13025/24624

DO - 10.13025/24624

M3 - Article

VL - 47

SP - 439

EP - 460

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 3

ER -

Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities via inequality theory

Abstract

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