Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
作者： S. V. Lototsky
DOI: 10.4310/MAA.2000.V7.N1.A9
关键词: Sobolev inequality 、 Sobolev spaces for planar domains 、 Lp space 、 Sobolev space 、 Elliptic boundary value problem 、 Interpolation space 、 Mathematics 、 Domain (mathematical analysis) 、 Trace operator 、 Mathematical analysis
摘要: A family of Banach spaces is introduced to control the interior smoothness and boundary behavior functions in a general domain. In- terpolation, embedding, other properties are studied. As an application, certain degenerate second-order elliptic partial dierential equation considered.
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