Exact multiplicity of solutions and S-shaped bifurcation curve for a class of semilinear elliptic equations
نویسندگان
چکیده
The set of steady state solutions to a reaction–diffusion equation modeling an autocatalytic chemical reaction is completely determined, when the reactor has spherical geometry, and the spatial dimension is n= 1 or 2 for any reaction order, or n 3 for subcritical reaction order. Bifurcation approach and analysis of linearized problems are used to establish exact multiplicity and precise global bifurcation diagram of positive steady states. © 2006 Elsevier Inc. All rights reserved.
منابع مشابه
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