Lanconelli: Strutture subriemanniane in alcuni problemi di Analisi

Lanconelli, Ermanno:
Strutture subriemanniane in alcuni problemi di Analisi
Bollettino dell'Unione Matematica Italiana Serie 8 8-B (2005), fasc. n.2, p. 273-298, Unione Matematica Italiana (Italian)
pdf (312 Kb), djvu (330 Kb). | MR2149385 | Zbl 1182.31013

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Vengono presentati alcuni problemi, idee e tecniche sorte nell'ambito della teoria delle equazioni alle derivate parziali del secondo ordine, con forma caratteristica semidefinita positiva e con soggiacenti strutture sub-riemanniane. Se ne traccia lo sviluppo a partire dalla classica teoria delle funzioni armoniche e caloriche, attraverso la teoria del potenziale negli spazi armonici astratti e la teoria della regolarità locale delle soluzioni.

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Referenze Bibliografiche