# 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}
}
• Published 2019
• Mathematics, Physics
• arXiv: Analysis of PDEs
• 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].
6 Citations

#### References

SHOWING 1-10 OF 29 REFERENCES