
Resumo: Hyperbolicity is an important property of stationary solutions of semilinear problems in infinite dimensional spaces. It can be extended (under suitable conditions) to quasilinear problems. In this lecture, we will present a non-local quasilinear problem for which a notion of hyperbolicity of equilibria is available. For that, we will study an associated non-local semilinear problem and analyse the spectrum of its linearization.