[PDF.25pp] Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics)

Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics)

[PDF.vq13] Nonlinear Potential Theory and Weighted Sobolev Spaces (Lecture Notes in Mathematics)

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 | #3324780 in Books |  Springer |  2000-07-31 |  2000-07-31 | Original language:English | PDF # 1 |  9.25 x.45 x6.10l,1.00 | File type: PDF | 180 pages

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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....

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