In this paper we prove an existence and uniqueness theorem for the Dirichlet problem in W^{2,p} _s for second order linear elliptic equations in unbounded domains. Here the leading coefficients are assumed to be locally VMO and satisfy a suitable condition at infinity.
Existence and uniqueness results for Dirichlet problem in weighted Sobolev spaces on unbounded domains
BOCCIA, SERENA;SALVATO, MARIA;TRANSIRICO, Maria
2011-01-01
Abstract
In this paper we prove an existence and uniqueness theorem for the Dirichlet problem in W^{2,p} _s for second order linear elliptic equations in unbounded domains. Here the leading coefficients are assumed to be locally VMO and satisfy a suitable condition at infinity.File in questo prodotto:
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