Minima of quasisuperminimizers
Analysis of PDEs
2017-05-08 v1
Abstract
Let u_i be a Q_i-quasisuperminimizer, i=1,2, and u=min{u_1,u_2}, where 1 <= Q_1 <= Q_2. Then u is a quasisuperminimizer, and we improve upon the known upper bound (due to Kinnunen and Martio) for the optimal quasisuperminimizing constant Q of u. We give the first examples with Q>Q_2, and show that in general Q>Q_2 whenever Q_1 >1. We also study the blowup of the quasisuperminimizing constant in pasting lemmas.
Keywords
Cite
@article{arxiv.1505.04899,
title = {Minima of quasisuperminimizers},
author = {Anders Björn and Jana Björn and Riikka Korte},
journal= {arXiv preprint arXiv:1505.04899},
year = {2017}
}