Existence theorems for the one-dimensional singular p - Laplacian equation with sign changing nonlinearities

Donal O'Regan

doi:10.1016/S0096-3003(02)00342-9

Existence theorems for the one-dimensional singular p - Laplacian equation with sign changing nonlinearities

Donal O'Regan

Mathematics

Department of Mathematical Sciences
Second Hospital of Lanzhou University

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

46 Citations (Scopus)

Abstract

In this paper, general existence theorems are presented for the singular equation (phi(p)(y)) + f(t,y) = 0, y(0) = y(1) = 0. Throughout, our nonlinearity is allowed to change sign. (C) 2002 Elsevier Science Inc. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	15-38
Number of pages	24
Journal	Applied Mathematics And Computation
Volume	143
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(02)00342-9
Publication status	Published - 1 Oct 2003

Keywords

Lower-upper solution method
One-dimensional singular equation
Positive solution

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10.1016/S0096-3003(02)00342-9

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abstract = "In this paper, general existence theorems are presented for the singular equation (phi(p)(y)) + f(t,y) = 0, y(0) = y(1) = 0. Throughout, our nonlinearity is allowed to change sign. (C) 2002 Elsevier Science Inc. All rights reserved.",

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AB - In this paper, general existence theorems are presented for the singular equation (phi(p)(y)) + f(t,y) = 0, y(0) = y(1) = 0. Throughout, our nonlinearity is allowed to change sign. (C) 2002 Elsevier Science Inc. All rights reserved.

KW - Lower-upper solution method

KW - One-dimensional singular equation

KW - Positive solution

UR - https://www.scopus.com/pages/publications/0037809675

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DO - 10.1016/S0096-3003(02)00342-9

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IS - 1

ER -

Existence theorems for the one-dimensional singular p - Laplacian equation with sign changing nonlinearities

Abstract

Keywords

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