Mingione, Anna, Zhong: On the Regularity of p-Harmonic Functions in the Heisenberg Group

Mingione, Giuseppe and Anna, Zatorska-Goldstein and Zhong, Xiao:
On the Regularity of p-Harmonic Functions in the Heisenberg Group
Bollettino dell'Unione Matematica Italiana Serie 9 1 (2008), fasc. n.1, p. 243-253, (English)
pdf (433 Kb), djvu (118 Kb). | MR 2388006 | Zbl 1164.35039

Sunto

Descriviamo alcuni recenti risultati ottenuti in [29], dove si dimostrano teoremi di regolarità per soluzioni di equazioni sub-ellittiche in forma di divergenza orizzontale, nel gruppo di Heisenberg. I risultati coprono il caso di operatori a crescita p, come il p-Laplaciano nel gruppo di Heisenberg, e sono ottenuti sotto l'ipotesi adimensionale $p \in [2,4)$.

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Referenza completa

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Referenze Bibliografiche