Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
Analysis of PDEs
2018-10-10 v1 Optimization and Control
Abstract
We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rate.
Keywords
Cite
@article{arxiv.1810.03837,
title = {Lipschitz regularity for orthotropic functionals with nonstandard growth conditions},
author = {Pierre Bousquet and Lorenzo Brasco},
journal= {arXiv preprint arXiv:1810.03837},
year = {2018}
}
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37 pages