• DOI:10.2140/apde.2020.13.2241
Corpus ID: 139105267

On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth

@article{Bella2019OnTR,
  title={On the regularity of minimizers for scalar integral functionals with \$(p,q)\$-growth},
  author={P. Bella and M. Schaffner},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}

P. Bella, M. Schaffner

Published 2019

Mathematics, Physics

arXiv: Analysis of PDEs

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We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called $(p,q)$-growth. In particular, we establish Lipschitz regularity under the condition $\frac{q}p<1+\frac{2}{n-1}$ for $n\geq3$ which improves a classical result due to Marcellini~[JDE'91].