<電子ブック>
Nonlinear Potential Theory and Weighted Sobolev Spaces / by Bengt O. Turesson
(Lecture Notes in Mathematics. ISSN:16179692 ; 1736)
版 | 1st ed. 2000. |
---|---|
出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2000 |
大きさ | XII, 180 p : online resource |
著者標目 | *Turesson, Bengt O author SpringerLink (Online service) |
件 名 | LCSH:Potential theory (Mathematics) LCSH:Differential equations FREE:Potential Theory FREE:Differential Equations |
一般注記 | Introduction -- Preliminaries: Notation and conventions. Basic results concerning weights -- Sobolev spaces: The Sobolev space $W^(mp) w (/Omega)$. The Sobolev space $W^(mp) w (/Omega)$. Hausdorff measures. Isoperimetric inequalities. Some Sobolev type inequalities. Embeddings into L^q µ(Û) -- Potential theory: Norm inequalities for fractional integrals and maximal functions. Meyers' Theory for Lp-capacities. Bessel and Riesz capacities. Hausdorff capacities. Variational capacities. Thinness: The case 1< p 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 HTTP:URL=https://doi.org/10.1007/BFb0103908 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783540451686 |
|
電子リソース |
|
EB00210919 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA404.7-405 DC23:515.96 |
書誌ID | 4000109136 |
ISBN | 9783540451686 |
類似資料
この資料の利用統計
このページへのアクセス回数:10回
※2017年9月4日以降