Local and global bifurcation results for a semilinear boundary value problem |
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Authors: | KJ Brown |
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Institution: | School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK |
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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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