4 papers
Heteroclinic connections for fractional Allen-Cahn equations with degenerate potentials
Francesco De Pas, Serena Dipierro, Mirco Piccinini +1
We investigate existence, uniqueness and asymptotic behavior of minimizers of a family of non-local energy functionals of the type $$ \frac{1}{4}\iint_{\mathbb{R}^{2n}\setminus (\m…
Bounded minimizers of double phase problems at nearly linear growth
Cristiana De Filippis, Filomena De Filippis, Mirco Piccinini
Bounded minimizers of double phase problems at nearly linear growth have locally Hölder continuous gradient within the sharp maximal nonuniformity range .
Regularity for multi-phase problems at nearly linear growth
Filomena De Filippis, Mirco Piccinini
Minima of the log-multiphase variational integral have locally Hölder continuous gradi…
De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions
Francesca Anceschi, Giampiero Palatucci, Mirco Piccinini
We extend the De Giorgi-Nash-Moser theory to a class of nonlocal hypoelliptic equations arising naturally in kinetic theory, in which a first-order transport operator is coupled wi…