Accepted Paper

Inserted: 14 apr 2016
Last Updated: 2 aug 2016

Journal: Nonlinear Anal.
Pages: 32
Year: 2016
Notes:

Dedicated to Nicola Fusco with gratitude and friendship on the occasion of his birthday

Abstract:

We prove higher differentiability of bounded local minimizers to some widely degenerate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional case, we prove that local minimizers to a model functional are locally Lipschitz continuous functions, without any restriction on the anisotropy.

Keywords: Degenerate elliptic equations, Anisotropic problems, Besov-Nikol'skii spaces

Download:

• braleopisver_rev_final.pdf