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

7 December 2016

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.

  • PDE CDT Lunchtime Seminar