In this note we analyze equilibria of static Stefan type problems with crystalline/singular weighted mean curvature in the plane. Our main goal is to improve the meaning of variational solutions so that their properties allow us to call them almost classical solutions. The idea of our approach is based on a new definition of a composition of multivalued functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-14,
author = {Piotr Bogus\l aw Mucha and Piotr Rybka},
title = {Almost classical solutions of static Stefan type problems involving crystalline curvature},
journal = {Banach Center Publications},
volume = {86},
year = {2009},
pages = {223-234},
zbl = {1169.53331},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-14}
}
Piotr Bogusław Mucha; Piotr Rybka. Almost classical solutions of static Stefan type problems involving crystalline curvature. Banach Center Publications, Tome 86 (2009) pp. 223-234. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-14/