Bifurcation and stability results for an equation arising in population genetics |
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Authors: | K J Brown S S Lin |
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Institution: | (1) Edinburgh, UK;(2) Hsinchu, Taiwan |
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Abstract: | Summary
We consider a semilinear elliptic boundary value problem, which arises in population genetics. Although there is no obvious corresponding linearized problem, we establish, by using Implicit Function Theorem methods, necessary and sufficient conditions forbifurcation to occur from a branch of trivial solutions. The stability of the bifurcating solutions is also investigated. |
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