Nonlinear Potential Theory and Weighted Sobolev Spaces is popular PDF and ePub book, written by Bengt O. Turesson in 2007-05-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Potential Theory and Weighted Sobolev Spaces can be Read Online from any device for your convenience.
Nonlinear Potential Theory and Weighted Sobolev Spaces Book PDF 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 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.
Detail Book of Nonlinear Potential Theory and Weighted Sobolev Spaces PDF
- Author : Bengt O. Turesson
- Release : 06 May 2007
- Publisher : Springer
- ISBN : 9783540451686
- Genre : Mathematics
- Total Page : 188 pages
- Language : English
- PDF File Size : 18,6 Mb
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