Multiple positive solutions for the one-dimensional singular p-Laplacian

Donal O'Regan

doi:PII S0096-3003(01)00240-5

Multiple positive solutions for the one-dimensional singular p-Laplacian

Donal O'Regan

Mathematics

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Abstract

We consider the following boundary value problem: (phi(p)(y)) + q(t)f(y) = 0, p 1, t is an element of [0,1], with y(0) = y(1) = 0, or y(0) = y(1) = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained. (C) 2002 Elsevier Science Inc. All rights reserved.

Original language	English (Ireland)
Number of pages	16
Journal	Applied Mathematics And Computation
Volume	133
DOIs	https://doi.org/PII S0096-3003(01)00240-5
Publication status	Published - 1 Dec 2002

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Authors
Lu, HS,O'Regan, D,Zhong, CK

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PII S0096-3003(01)00240-5

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abstract = "We consider the following boundary value problem: (phi(p)(y)) + q(t)f(y) = 0, p 1, t is an element of [0,1], with y(0) = y(1) = 0, or y(0) = y(1) = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained. (C) 2002 Elsevier Science Inc. All rights reserved.",

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N2 - We consider the following boundary value problem: (phi(p)(y)) + q(t)f(y) = 0, p 1, t is an element of [0,1], with y(0) = y(1) = 0, or y(0) = y(1) = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained. (C) 2002 Elsevier Science Inc. All rights reserved.

AB - We consider the following boundary value problem: (phi(p)(y)) + q(t)f(y) = 0, p 1, t is an element of [0,1], with y(0) = y(1) = 0, or y(0) = y(1) = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained. (C) 2002 Elsevier Science Inc. All rights reserved.

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DO - PII S0096-3003(01)00240-5

M3 - Article

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JO - Applied Mathematics And Computation

JF - Applied Mathematics And Computation

ER -

Multiple positive solutions for the one-dimensional singular p-Laplacian

Abstract

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