## Multiple solutions for the van der Waals--Allen--Cahn--Hilliard equation with a volume constraint

### Stefano Nardulli (CMCC-UFABC, Santo André, São Paulo, SP (Brasil))

created by malchiodi on 17 Dec 2018

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)