Lipschitz regularity for degenerate elliptic integrals with p,q-growth
Analysis of PDEs
2021-01-05 v1
Abstract
We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly degenerate energy densities with respect to the x-variable.
Cite
@article{arxiv.2101.01101,
title = {Lipschitz regularity for degenerate elliptic integrals with p,q-growth},
author = {Giovanni Cupini and Paolo Marcellini and Elvira Mascolo and A. Passarelli di Napoli},
journal= {arXiv preprint arXiv:2101.01101},
year = {2021}
}