Regularity results for bounded solutions to obstacle problems with non-standard growth conditions

Andrea Gentile, Raffaella Giova, Andrea Torricelli

In this paper we consider a class of obstacle problems of the type %\begin{equation*} %\int_Ω\left<A(x, Du), D(φ-u)\right> \, \dx\ge0\qquad\forall %φ\in W^{1,q}(Ω) \quad {\mathrm{s…