Item description for Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics) by Bengt O. Turesson...
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 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, Poincar inequalities, and spectral synthesis theorems.
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Est. Packaging Dimensions: Length: 9.1" Width: 6.1" Height: 0.4" Weight: 0.55 lbs.
Release Date Jul 31, 2000
ISBN 3540675884 ISBN13 9783540675884
Availability 70 units. Availability accurate as of May 23, 2017 06:52.
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