Nonlinear Potential Theory and Weighted Sobolev Spaces
Author:   Bengt O. Turesson
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2000 ed.
Volume:   1736
ISBN:  

9783540675884


Pages:   180
Publication Date:   21 June 2000
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Nonlinear Potential Theory and Weighted Sobolev Spaces


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Overview

The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincaré inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, ""Kellogg lemmas"" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincaré inequalities, and spectral synthesis theorems.

Full Product Details

Author:   Bengt O. Turesson
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2000 ed.
Volume:   1736
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   1.000kg
ISBN:  

9783540675884


ISBN 10:   3540675884
Pages:   180
Publication Date:   21 June 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Preliminaries.- Sobolev spaces.- Potential theory.- Applications of potential theory to Sobolev spaces.

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