We present simple elementary proofs of several theorems about temperatures and subtemperatures. Most of these are concerned with mean values over heat spheres, heat balls, and modified heat balls, with applications to proving Harnack theorems and the monotone approximation of subtemperatures by smooth subtemperatures.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-9,
author = {Neil A. Watson},
title = {Elementary proofs of some basic subtemperature theorems},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {111-140},
zbl = {1090.35084},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-9}
}
Neil A. Watson. Elementary proofs of some basic subtemperature theorems. Colloquium Mathematicae, Tome 91 (2002) pp. 111-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-9/