Dipartimento di Matematica Applicata "U. Dini", Universit(a). di Pisa, Via Buonarroti 1/c, 56127 Pisa, Italy.
Abstract:
The aim of this note is to improve the regularity results obtained by H. Beirao da Veiga in 2008 for a class of p-fluid flows in a cubic domain. The key idea is exploiting the better regularity of solutions in the tangential directions with respect to the normal one, by appealing to anisotropic Sobolev embeddings.