Nonlinear potential theory and weighted Sobolev spaces

著者
    • Turesson, Bengt Ove
書誌事項

Nonlinear potential theory and weighted Sobolev spaces

Bengt Ove Turesson

(Lecture notes in mathematics, 1736)

Springer, c2000

この図書・雑誌をさがす
注記

Includes bibliographical references (p. [163]-170) and index

内容説明・目次

内容説明

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 spectral synthesis theorems.

目次

Preliminaries.- Sobolev spaces.- Potential theory.- Applications of potential theory to Sobolev spaces.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示
詳細情報
  • NII書誌ID(NCID)
    BA47300089
  • ISBN
    • 3540675884
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    xiv, 173 p.
  • 大きさ
    24 cm
  • 親書誌ID
ページトップへ