On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth
Analysis of PDEs
2020-11-18 v1
Abstract
We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called -growth. In particular, we establish Lipschitz regularity under the condition for which improves a classical result due to Marcellini~[JDE'91].
Keywords
Cite
@article{arxiv.1904.12279,
title = {On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth},
author = {Peter Bella and Mathias Schäffner},
journal= {arXiv preprint arXiv:1904.12279},
year = {2020}
}