Regularity results for a class of obstacle problems with $p,q-$growth conditions

Michele Caselli, Michela Eleuteri, Antonia Passarelli di Napoli

In this paper we prove the local boundedness as well as the local Lipschitz continuity for solutions to a class of obstacle problems of the type $$\min\left\{\int_Ω{F(x, Dz)}: z\in…