On the modulus of continuity of weakly differentiable functions Andrea CianchiMonia Randolfi 46E3546E30generalized Sobolev spacesrearrangement invariant spacesmodulus of continuityOrlicz-Sobolev spaces Optimal embeddings of Sobolev type spaces into spaces of continuous functions are established. On extending the classical Morrey embedding on the H\"older continuity of functions with weak derivatives in suitable Lebesgue spaces, our results provide the sharp modulus of continuity of functions whose weak derivatives of a given order belong to a more general rearrangement invariant space. In particular, embeddings of Orlicz-Sobolev spaces into spaces of continuous functions are characterized. Indiana University Mathematics Journal 2011 text pdf 10.1512/iumj.2011.60.4441 10.1512/iumj.2011.60.4441 en Indiana Univ. Math. J. 60 (2011) 1939 - 1974 state-of-the-art mathematics http://iumj.org/access/