Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight

Inbo Sim; Satoshi Tanaka

doi:10.1016/j.aml.2015.04.007

Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight

Inbo Sim, Satoshi Tanaka

SCI - Mathematics

University of Ulsan

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

Abstract We show that one-dimensional p-Laplacian with a sign-changing weight which is subject to Dirichlet boundary condition has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. Proofs are mainly based on the directions of a bifurcation.

Original language	English
Article number	4774
Pages (from-to)	42-50
Number of pages	9
Journal	Applied Mathematics Letters
Volume	49
DOIs	https://doi.org/10.1016/j.aml.2015.04.007
Publication status	Published - 2015 Nov 1

Keywords

A-priori bound
Bifurcation
Boundary value problem
Three positive solutions
p-Laplacian

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10.1016/j.aml.2015.04.007

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title = "Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight",

abstract = "Abstract We show that one-dimensional p-Laplacian with a sign-changing weight which is subject to Dirichlet boundary condition has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. Proofs are mainly based on the directions of a bifurcation.",

keywords = "A-priori bound, Bifurcation, Boundary value problem, Three positive solutions, p-Laplacian",

author = "Inbo Sim and Satoshi Tanaka",

note = "Funding Information: The first author was supported by a National Research Foundation of Korea grant funded by the Korean government (MEST) ( NRF-2012R1A1A2000739 ). The second author was supported by JSPS KAKENHI Grant Number 26400182 . Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",

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doi = "10.1016/j.aml.2015.04.007",

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AU - Sim, Inbo

AU - Tanaka, Satoshi

N1 - Funding Information: The first author was supported by a National Research Foundation of Korea grant funded by the Korean government (MEST) ( NRF-2012R1A1A2000739 ). The second author was supported by JSPS KAKENHI Grant Number 26400182 . Publisher Copyright: © 2015 Elsevier Ltd.

PY - 2015/11/1

Y1 - 2015/11/1

N2 - Abstract We show that one-dimensional p-Laplacian with a sign-changing weight which is subject to Dirichlet boundary condition has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. Proofs are mainly based on the directions of a bifurcation.

AB - Abstract We show that one-dimensional p-Laplacian with a sign-changing weight which is subject to Dirichlet boundary condition has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. Proofs are mainly based on the directions of a bifurcation.

KW - A-priori bound

KW - Bifurcation

KW - Boundary value problem

KW - Three positive solutions

KW - p-Laplacian

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight

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Keywords

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