In this paper we prove some a priori bounds for a class of uniformly elliptic second order linear differential operators with discontinuous coefficients in some weighted Sobolev spaces.We deduce a uniqueness and existence theorem for the related Dirichlet problem on unbounded domains of the plane.
Elliptic equations in weighted Sobolev spaces on unbounded domains of the plane
D'AMBROSIO, ROBERTA;SGAMBATI, Luciana;TRANSIRICO, Maria
2010-01-01
Abstract
In this paper we prove some a priori bounds for a class of uniformly elliptic second order linear differential operators with discontinuous coefficients in some weighted Sobolev spaces.We deduce a uniqueness and existence theorem for the related Dirichlet problem on unbounded domains of the plane.File in questo prodotto:
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