Quasiconvexity and partial regularity via nonlinear potentials
Analysis of PDEs
2022-04-12 v3
Abstract
We show how to infer sharp partial regularity results for relaxed minimizers of degenerate, nonuniformly elliptic quasiconvex functionals, using tools from Nonlinear Potential Theory. In particular, in the setting of functionals with -growth - according to the terminology of Marcellini [52] - we derive optimal local regularity criteria under minimal assumptions on the data.
Cite
@article{arxiv.2105.00503,
title = {Quasiconvexity and partial regularity via nonlinear potentials},
author = {Cristiana De Filippis},
journal= {arXiv preprint arXiv:2105.00503},
year = {2022}
}