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Více informací o knize Nonlinear Potential Theory and Weighted Sobolev Spaces

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v němčině Naturwissenschaften, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie, Stochastik, Mathematische

• Plný název: Nonlinear Potential Theory and Weighted Sobolev Spaces
• Autor: Bengt O. Turesson
• Jazyk: Němčina
• Vazba: Brožovaná
• Počet stran: 180
• EAN: 9783540675884
• ISBN: 3540675884
• ID: 05275115
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 328 g
• Rozměry: 157 × 235 × 14 mm
• Datum vydání: 21. June 2000

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