We obtain some W^{2,2} a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.
W^{2,2} a priori bounds for a class of elliptic operators
MONSURRO', SARA;SALVATO, MARIA;TRANSIRICO, Maria
2011-01-01
Abstract
We obtain some W^{2,2} a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.File in questo prodotto:
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