English

Optimal gradient estimates for multi-phase integrals

Analysis of PDEs 2021-07-13 v1

Abstract

We prove sharp reverse H\"older inequalities for minima of multi-phase variational integrals and apply them to Calder\'on-Zygmund estimates for nonhomogeneous problems.

Keywords

Cite

@article{arxiv.2107.04898,
  title  = {Optimal gradient estimates for multi-phase integrals},
  author = {Cristiana De Filippis},
  journal= {arXiv preprint arXiv:2107.04898},
  year   = {2021}
}

Comments

29 pages

R2 v1 2026-06-24T04:04:17.958Z