Local and global bifurcation results for a semilinear boundary value problem

K. J. Brown

doi:10.1016/j.jde.2007.05.013

Local and global bifurcation results for a semilinear boundary value problem

K. J. Brown

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

29 Citations (Scopus)

Abstract

We investigate the local and global nature of the bifurcation diagrams which can occur for a semilinear elliptic boundary value problem with Neumann boundary conditions involving sign-changing coefficients. It is shown that closed loops of positive and negative solutions occur naturally for such problems and properties of these loops are investigated. © 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	296-310
Number of pages	15
Journal	Journal of Differential Equations
Volume	239
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2007.05.013
Publication status	Published - 15 Aug 2007

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10.1016/j.jde.2007.05.013

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title = "Local and global bifurcation results for a semilinear boundary value problem",

abstract = "We investigate the local and global nature of the bifurcation diagrams which can occur for a semilinear elliptic boundary value problem with Neumann boundary conditions involving sign-changing coefficients. It is shown that closed loops of positive and negative solutions occur naturally for such problems and properties of these loops are investigated. {\textcopyright} 2007 Elsevier Inc. All rights reserved.",

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AB - We investigate the local and global nature of the bifurcation diagrams which can occur for a semilinear elliptic boundary value problem with Neumann boundary conditions involving sign-changing coefficients. It is shown that closed loops of positive and negative solutions occur naturally for such problems and properties of these loops are investigated. © 2007 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.jde.2007.05.013

M3 - Article

SN - 0022-0396

VL - 239

SP - 296

EP - 310

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Local and global bifurcation results for a semilinear boundary value problem

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