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Nonlinear potential theory and weighted Sobolev spaces

Author: Bengt Ove Turesson
Publisher: Berlin ; New York : Springer, ©2000.
Series: Lecture notes in mathematics (Springer-Verlag), 1736.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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 Poincar inequalities, Maz'ya type  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Turesson, Bengt Ove, 1961-
Nonlinear potential theory and weighted Sobolev spaces.
Berlin ; New York : Springer, ©2000
(DLC) 00040015
(OCoLC)44084163
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bengt Ove Turesson
ISBN: 9783540451686 3540451684
OCLC Number: 162126578
Description: 1 online resource (xiv, 173 pages).
Contents: Introduction --
Preliminaries: Notation and conventions. Basic results concerning weights --
Sobolev spaces: The Sobolev space $W^(mp) w (/Omega)$. The Sobolev space $W^(mp) w (/Omega)$. Hausdorff measures. Isoperimetric inequalities. Some Sobolev type inequalities. Embeddings into L^q () --
Potential theory: Norm inequalities for fractional integrals and maximal functions. Meyers' Theory for Lp-capacities. Bessel and Riesz capacities. Hausdorff capacities. Variational capacities. Thinness: The case 1<p.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1736.
Responsibility: Bengt Ove Turesson.
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Abstract:

The book systematically develops nonlinear potential theory and the Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincare inequalities,  Read more...

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