In questa Nota enunciamo, per una classe di equazioni ellittiche del secondo ordine «fortemente degeneri» a coefficienti misurabili, un teorema di hölderianità delle soluzioni deboli che estende il ben noto risultato di De Giorgi e Nash. Tale risuJtato discende dalle proprietà geometriche di opportune famiglie di sfere associate agli operatori.
@article{RLINA_1982_8_72_5_273_0,
author = {Bruno Franchi and Ermanno Lanconelli},
title = {De Giorgi's Theorem, for a Class of Strongly Degenerate Elliptic Equations},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {72},
year = {1982},
pages = {273-277},
zbl = {0543.35041},
mrnumber = {0728257},
language = {en},
url = {http://dml.mathdoc.fr/item/RLINA_1982_8_72_5_273_0}
}
Franchi, Bruno; Lanconelli, Ermanno. De Giorgi’s Theorem, for a Class of Strongly Degenerate Elliptic Equations. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 72 (1982) pp. 273-277. http://gdmltest.u-ga.fr/item/RLINA_1982_8_72_5_273_0/
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