This article is cited in 1 paper

Counting solutions in bifurcation problems

J. Lopez-Gomez, C. Mora-Corral

Universidad Complutense de Madrid

Abstract: In this paper, we use the topological degree to obtain some sharp lower bounds for the number of solutions of the parameter slices of the semi-bounded components of the set of nontrivial solutions of an abstract nonlinear equation with a trivial state. By a semi-bounded component, we mean a component that is bounded in one direction of the parameter. The spectrum of the linearization of the equation at the trivial state is not assumed to be discrete.

UDC: 517.98

 English version: Journal of Mathematical Sciences (New York), 2008, 150:5, 2395–2407

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