Hamburger: Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems

Hamburger, Christoph:
Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems
Bollettino dell'Unione Matematica Italiana Serie 8 10-B (2007), fasc. n.1, p. 63-81, Unione Matematica Italiana (English)
pdf (472 Kb), djvu (168 Kb). | MR 2310958 | Zbl 1178.35178

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Si dimostra un risultato di regolarità parziale globale per le soluzioni deboli del problema di Dirichlet associato al sistema superellittico non lineare $\operatorname{div} A(x,u,Du) + B(x, u, DU) = 0$ con ipotesi di crescita naturale polinomiale delle funzioni coefficienti $A$ e $B$. Si applica il metodo indiretto della forma bilineare e non si fa uso di una diseguaglianza di Caccioppoli né di una diseguaglianza di Hölder al contrario.

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Referenze Bibliografiche