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Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics, 1736) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date2000
- ISBN 10 3540675884
- ISBN 13 9783540675884
- BindingPaperback
- LanguageEnglish
- Number of pages192
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Nonlinear Potential Theory and Weighted Sobolev Spaces
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Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics, 1736)
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Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics, 1736)
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Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics, 1736)
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Nonlinear Potential Theory and Weighted Sobolev Spaces
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Nonlinear Potential Theory and Weighted Sobolev Spaces
Published by
Springer Berlin Heidelberg Jun 2000, 2000
ISBN 10: 3540675884
ISBN 13: 9783540675884
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book systematically develops the nonlinear potential theory connected with the weighted Sobolev space Wm,pw( ), 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 Poincare 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, Poincare inequalities, and spectral synthesis theorems. 196 pp. Englisch. Seller Inventory # 9783540675884
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Nonlinear Potential Theory and Weighted Sobolev Spaces
Published by
Springer Berlin Heidelberg, 2000
ISBN 10: 3540675884
ISBN 13: 9783540675884
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book systematically develops the nonlinear potential theory connected with the weighted Sobolev space Wm,pw( ), 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 Poincare 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, Poincare inequalities, and spectral synthesis theorems. Seller Inventory # 9783540675884
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Nonlinear Potential Theory and Weighted Sobolev Spaces
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Nonlinear Potential Theory and Weighted Sobolev Spaces
Published by
Springer Berlin Heidelberg, 2000
ISBN 10: 3540675884
ISBN 13: 9783540675884
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 196 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 861164/2
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