(1) Dipartimento di Matematica , U. Dini, v.le Morgagni 67/a, I-50134 Firenze, Italy;(2) Dipartimento di Matematica, L. Tonelli, via F. Buonarroti 2, I-56127 Pisa, Italy
Abstract:
In this paper we deal with Monge-Ampère type equations in two
dimensions and, using the symmetrization with respect to the perimeter, we
prove some comparison results for solutions of such equations involving the
solutions of conveniently symmetrized problems.