A Priori Bounds for a Class of Elliptic Operators
2011 ◽
Vol 2011
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pp. 1-17
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Keyword(s):
A Priori
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We obtain some 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.