Nonlinear potential theory and weighted Sobolev spaces. Lecture Notes in Mathematics; 1736.

Turesson, Bengt Ove:

ISBN 10: 3540675884 / ISBN 13: 9783540675884

Published by Berlin, Springer, 2000

About this Item

173 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04167 9783540675884 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2490397

Bibliographic Details

• Title: Nonlinear potential theory and weighted Sobolev spaces. Lecture Notes in Mathematics; 1736.
• Publisher: Berlin, Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 3540675884
• ISBN 13: 9783540675884
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.