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Nonlinear Potential Theory and Weighted Sobolev Spaces

Author : Bengt O. Turesson
Publisher : Springer
Page : 188 pages
File Size : 20,77 MB
Release : 2007-05-06
Category : Mathematics
ISBN : 3540451684

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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. 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.

Year Book

Author : Suomalainen Tiedeakatemia
Publisher :
Page : 348 pages
File Size : 28,9 MB
Release : 1996
Category : Science
ISBN :

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Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Author : Jan Awrejcewicz
Publisher : Springer Nature
Page : 615 pages
File Size : 18,69 MB
Release : 2020-04-06
Category : Science
ISBN : 303037663X

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From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Vuosikirja

Author : Suomalainen Tiedeakatemia
Publisher :
Page : 96 pages
File Size : 33,57 MB
Release : 1997
Category : Science
ISBN :

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