Abstract
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.
Citation
Sara Monsurrò. Maria Salvato. Maria Transirico. " A Priori Bounds for a Class of Elliptic Operators." Int. J. Differ. Equ. 2011 1 - 17, 2011. https://doi.org/10.1155/2011/572824
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