On the regularity of minimizers for scalar integral functionals with $(p,q)$growth
Abstract
We revisit the question of regularity for minimizers of scalar autonomous integral functionals with socalled $(p,q)$growth. In particular, we establish Lipschitz regularity under the condition $\frac{q}p<1+\frac{2}{n1}$ for $n\geq3$ which improves a classical result due to Marcellini~[JDE'91].
 Publication:

arXiv eprints
 Pub Date:
 April 2019
 arXiv:
 arXiv:1904.12279
 Bibcode:
 2019arXiv190412279B
 Keywords:

 Mathematics  Analysis of PDEs
 EPrint:
 Analysis &