Abstract

For a special class of Young functions, the Sobolev-Orlicz capacity is estimated from below by the (n-m)-dimensional Hausdorff content. The proof is based on pointwise estimates of superminimizers of the Orlicz type Dirichlet integrals. As a consequence we derive a sharp answer to the question which Sobolev functions have Lebesgue points H^n-m-a.e. and serve as good transformations for the coarea change of variables.