Extremal functions for Morrey's inequality
Analysis of PDEs
2020-05-19 v3
Abstract
We give a qualitative description of extremals for Morrey's inequality. Our theory is based on exploiting the invariances of this inequality, studying the equation satisfied by extremals and the observation that extremals are optimal for a related convex minimization problem.
Cite
@article{arxiv.1810.04393,
title = {Extremal functions for Morrey's inequality},
author = {Ryan Hynd and Francis Seuffert},
journal= {arXiv preprint arXiv:1810.04393},
year = {2020}
}