The Poincare problem in LP-Sobolev spaces -: I:: codimension one degeneracy

被引：10

作者：

Palagachev, DK ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 229卷 / 01期

关键词：

uniformly elliptic operator; Poincare problem; emergent-type vector field; strong solution; A priori estimates; L-P-Sobolev spaces;

D O I：

10.1016/j.jfa.2004.12.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a degenerate oblique derivative problem in Sobolev spaces W-2,W-p (Omega), for all p > 1, for uniformly elliptic operators with Lipschitz continuous coefficients. The vector field prescribing the boundary condition becomes tangential to M at the points of a non-empty set and is of emergent type. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：121 / 142

页数：22

共 20 条

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