We present a Lipschitz regularity result for a priori bounded minimizers of integral functionals of the form \int_Ω f(x, Du(x)) dx where Ω is a bounded open set in R^n, n ≥ 2. The main feature of the non autonomous energy density f(x, ξ) under consideration is that it satisfies (p, q)-growth condition as a function of the ξ variable and possesses a suitable Sobolev regularity as a function of the x variable. The result, contained in [1], is obtained under a sharp bound on the gap between the growth and the ellipticity exponent. Moreover, we present an higher differentiability result, contained in [2], for bounded solutions to obstacle problem with non standard growth whose energy densities explicitly depend on the minimizer u, under a suitable Sobolev regularity on the obstacle function. References [1] M. Eleuteri, A. Passarelli di Napoli: Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth, Pot. Anal., (2024), https://doi.org/10.1007/s11118- 024-10146-4. [2] A. Gentile, T. Isernia, A. Passarelli di Napoli: On a class of obstacle problems with (p, q)−growth and explicit u- dependence, Adv. Calc. Var. 2025; 18(3): 943–962