Sobolev and Lipschitz regularity for bounded minimizers of some anisotropic orthotropic functionals
Dettagli dell'evento
Quando
24/11/2016
dalle 11:30 alle 12:30
dalle 11:30 alle 12:30
Partecipanti
Chiara Leone (Universita’ di Napoli Federico II)
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.