Studiamo le proprietà di regolarità delle mappe fra varietà di Riemann che minimizzano la -energia fra quelle che soddisfano una condizione di frontiera pazialmente libera. Proviamo che tali mappe sono Hölder continue vicino alla frontiera libera fuori di un insieme singolare, e otteniamo stime ottimali per la dimensione di Hausdorff di questo insieme singolare.
@article{BUMI_1998_8_1B_2_391_0,
author = {Frank Duzaar and Andreas Gastel},
title = {Minimizing $p$-harmonic maps at a free boundary},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {1-A},
year = {1998},
pages = {391-405},
zbl = {0922.58014},
mrnumber = {1638151},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_1998_8_1B_2_391_0}
}
Duzaar, Frank; Gastel, Andreas. Minimizing $p$-harmonic maps at a free boundary. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 391-405. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_2_391_0/
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