19 dec 2018 -- 16:00 [open in google calendar]
Sala Seminari, Dipartimento di Matematica, UniPi
Abstract.
We give multiplicity results for the solutions of a nonlinear elliptic equation, with potential of Allen--Cahn--Hilliard type, satisfying a linear volume constraint, on a bounded Lipschitz domain $\Omega\subset\mathds R^N$. The number of solutions is estimated in terms of topological and homological invariants of the underlying domain $\Omega$. This is a Joint work with Vieri Benci(Univ. Pisa), Paolo Piccione (USP-São Paulo, Brazil)