Heriot-Watt Mathematics Report Series
HWM07-24, 3 Aug 2007

Local and global bifurcation results for a semilinear boundary value problem

K J Brown


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.

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