Sobolev and Lipschitz regularity for bounded minimizers of some anisotropic orthotropic functionals

Seminar series

PDE CDT Lunchtime Seminar

Date

Wed, 07 Dec 2016
16:00

Location

Speaker

Chiara Leone

Organisation

Universita' degli Studi di Napoli Federico II

We prove higher differentiability of bounded local minimizers to some degenerate functionals satisfying anisotropic growth conditions. In the two-dimensional case we also study the Lipschitz regularity of such minimizers without any limitation on the exponents of anisotropy.