Regularity for an anisotropic equation in the plane
Analysis of PDEs
2018-01-29 v1
Abstract
We present a simple proof of the regularity of -anisotropic functions in the plane for . We achieve a logarithmic modulus of continuity for the derivatives. The monotonicity (in the sense of Lebesgue) of the derivatives is used. The case with two exponents is also included.
Cite
@article{arxiv.1801.08661,
title = {Regularity for an anisotropic equation in the plane},
author = {Peter Lindqvist and Diego Ricciotti},
journal= {arXiv preprint arXiv:1801.08661},
year = {2018}
}
Comments
9 pages