Title of article
The Poincaré problem in Lp-Sobolev spaces—I: codimension one degeneracy
Author/Authors
Dian K. Palagachev، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
22
From page
121
To page
142
Abstract
We study a degenerate oblique derivative problem in Sobolev spaces W2,p( ), ∀p>1, for
uniformly elliptic operators with Lipschitz continuous coefficients. The vector field prescribing
the boundary condition becomes tangential to at the points of a non-empty set and is of
emergent type.
© 2005 Elsevier Inc. All rights reserved.
Keywords
Uniformly elliptic operator , Emergent-type vector field , Strong solution , Apriori estimates , Lp-Sobolev spaces , Poincaré problem
Journal title
Journal of Functional Analysis
Serial Year
2005
Journal title
Journal of Functional Analysis
Record number
839011
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