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Opis

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.

Szczegóły książki

Kategoria Książki po niemiecku Naturwissenschaften, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie, Stochastik, Mathematische

• Pełny tytuł: Nonlinear Potential Theory and Weighted Sobolev Spaces
• Autor: Bengt O. Turesson
• Język: Niemiecki
• Oprawa: Miękka
• Liczba stron: 180
• EAN: 9783540675884
• ISBN: 3540675884
• ID: 05275115
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 328 g
• Wymiary: 157 × 235 × 14 mm
• Data wydania: 21. June 2000

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