2 citations · 4 across the 5 of their papers we have counts for
7 papers
Sharp lower bounds for vector Allen-Cahn energy and qualitative properties of minimizes under no symmetry hypotheses
Nicholas D. Alikakos, Giorgio Fusco
We study vector minimizers u of the Allen-Cahn functional with potentials possessing N global minima defined on bounded domains, with certain geometrical features and Dirichlet con…
Minimizing under relaxed symmetry constraints: Triple and -junctions
Giorgio Fusco
We consider a nonnegative potential invariant under the action of the rotation group of the regular polygon with sides, . W…
Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation
Giorgio Fusco
We consider a nonnegative potential that vanishes on a finite set and study the existence of periodic orbits of the equation \[\ddot{u}=W_u(u),\;\;t\in\R,\] that have the prope…
Existence of periodic orbits near heteroclinic connections
Giorgio Fusco, Giovanni F. Gronchi, Matteo Novaga
We consider a potential with two different global minima and, under a symmetry assumption, we use a variational approach to show that the Hamiltonia…
On the existence of connecting orbits for critical values of the energy
Giorgio Fusco, Giovanni F. Gronchi, Matteo Novaga
We consider an open connected set and a smooth potential which is positive in and vanishes on . We study the existence of orbits of the mechanical system \[…
A replacement lemma for obtaining pointwise estimates in phase transition models
Nicholas D. Alikakos, Giorgio Fusco
We establish a replacement lemma for a variational problem, which is not based on a local argument. We then apply it to a phase transition problem and obtain pointwise estimates.