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Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics)
Bengt O. Turesson
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Description for Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics)
Paperback. The book systematically develops nonlinear potential theory and the Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincare inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. Series: Lecture Notes in Mathematics. Num Pages: 180 pages, biography. BIC Classification: PBCH; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 157 x 235 x 14. Weight in Grams: 318.
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 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 ... Read more
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 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 ... Read more
Product Details
Publisher
Springer
Format
Paperback
Publication date
2000
Series
Lecture Notes in Mathematics
Condition
New
Weight
318g
Number of Pages
180
Place of Publication
Berlin, Germany
ISBN
9783540675884
SKU
V9783540675884
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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