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Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
Author(s) -
Serena Boccia,
Sara Monsurrò,
Maria Transirico
Publication year - 2008
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2008/582435
Subject(s) - mathematics , sobolev space , uniqueness , class (philosophy) , pure mathematics , a priori and a posteriori , sobolev spaces for planar domains , order (exchange) , mathematical analysis , elliptic curve , interpolation space , functional analysis , philosophy , biochemistry , chemistry , epistemology , finance , artificial intelligence , computer science , economics , gene
We study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝn, n≥3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem

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