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

Chiara Leone (Università degli Studi di Napoli "Federico II")

24/11/2016, ore 11:30, aula 11

In this talk, I will describe some regularity results concerning bounded local minimizers to some degenerate functionals satisfying anisotropic growth conditions.
In particular, I will discuss the higher differentiability of such minimizers under some restrictions on the exponents of anisotropy.
In the two dimensional case I will also show that minimizers are Lipschitz continuous without any limitation on the exponents of anisotropy.