Regularity for multi-phase variational problems
Analysis of PDEs
2018-07-10 v1
Abstract
We prove regularity for local minimizers of the \oh{multi-phase} energy: \begin{flalign*} w \mapsto \int_{\Omega}\snr{Dw}^{p}+a(x)\snr{Dw}^{q}+b(x)\snr{Dw}^{s} \ dx, \end{flalign*} under sharp assumptions relating the couples and to the H\"older exponents of the modulating coefficients and , respectively.
Cite
@article{arxiv.1807.02880,
title = {Regularity for multi-phase variational problems},
author = {Cristiana De Filippis and Jehan Oh},
journal= {arXiv preprint arXiv:1807.02880},
year = {2018}
}