a1 Dipartimento di Matematica Pura ed Applicata – Università Degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy. email@example.com; firstname.lastname@example.org
Let be a minimum for
where f is convex, is convex for a.e. x. We prove that u shares the same modulus of continuity of ϕ whenever Ω is sufficiently regular, the right derivative of g satisfies a suitable monotonicity assumption and the following inequality holds
This result generalizes the classical Haar-Rado theorem for Lipschitz functions.
(Received July 23 2009)
(Online publication October 28 2010)
Mathematics Subject Classification: