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.
An extension of the Aleksandrov-Pucci theorem for unbounded domains
CAVALIERE, Paola;DI GIRONIMO, Patrizia;TRANSIRICO, Maria
1998
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.File in questo prodotto:
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