In this paper we extend a well-known a priori bound by Aleksandrov and Pucci for the solution of the Dirichlet problem for a uniformly elliptic operator in nonvariational form with discontinuous coefficients in a bounded open subset Ω of R^n to the case Ω is unbounded, under the assumption that the solution satisfies a suitable condition at infinity.
Titolo: | An extension of the Aleksandrov-Pucci theorem for unbounded domains | |
Autori: | ||
Data di pubblicazione: | 1998 | |
Rivista: | ||
Abstract: | In this paper we extend a well-known a priori bound by Aleksandrov and Pucci for the solution of the Dirichlet problem for a uniformly elliptic operator in nonvariational form with discontinuous coefficients in a bounded open subset Ω of R^n to the case Ω is unbounded, under the assumption that the solution satisfies a suitable condition at infinity. | |
Handle: | http://hdl.handle.net/11386/1001766 | |
Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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