Publication Cover
Applicable Analysis
An International Journal
Volume 19, 1985 - Issue 2-3
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Original Articles

The Dirichlet Problem for Second Order Elliptic Operators on Unbounded Domains

Pages 201-216 | Published online: 02 May 2007
 

Abstract

Let be a uniformly strong elliptic operator on an open set ω ⊃ Rnwith boundary ∂ω, where neither ωnor ωis assumed to be bounded. In this paper I prove the existence of weak solutions of the Dirichlet-problem in some weighted Sobolev-spaces. The results refine previous results of Maulen and the author [5].

AMS(MOS) 35J20,26A86

Additional information

Notes on contributors

W. Walter

V. Besov

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