| 書目名稱 | Nonlinear Potential Theory and Weighted Sobolev Spaces | | 編輯 | Bengt Ove Turesson | | 視頻video | http://file.papertrans.cn/668/667658/667658.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | 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. | | 出版日期 | Book 2000 | | 關(guān)鍵詞 | Lemma; Potential theory; Sobolev space; Sobolev spaces; partial differential equation; partial differenti | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0103908 | | isbn_softcover | 978-3-540-67588-4 | | isbn_ebook | 978-3-540-45168-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2000 |
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