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Author : Juha Heinonen
Publisher : Courier Corporation
Page : 418 pages
File Size : 12,84 MB
Release : 2012-09-19
Category : Mathematics
ISBN : 0486149250
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
Author : Juha Heinonen
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 13,36 MB
Release : 2018-05-16
Category : Mathematics
ISBN : 0486830462
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
Author : Tero Kilpeläinen
Publisher :
Page : 36 pages
File Size : 34,72 MB
Release : 1988
Category :
ISBN :
Author : Bengt O. Turesson
Publisher : Springer
Page : 188 pages
File Size : 40,9 MB
Release : 2007-05-06
Category : Mathematics
ISBN : 3540451684
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.
Author : Tero Kilpeläinen
Publisher :
Page : 22 pages
File Size : 24,92 MB
Release : 1990
Category :
ISBN :
Author : Josef Kral
Publisher : Walter de Gruyter
Page : 513 pages
File Size : 37,38 MB
Release : 2011-10-13
Category : Mathematics
ISBN : 3110818574
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : J. Kral
Publisher : Springer Science & Business Media
Page : 138 pages
File Size : 17,29 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461344255
Preface.- Gottfried Anger: Direct and inverse problems in potential theory.- Viorel Barbu: Regularity results for sane differential equations associated with maximal monotone operators in Hilbert spaces.- Haim Brezis: Classes d'interpolation associées à un opérateur monotone et applications.- Siegfried Dnümmel: On inverse problems for k-dimensional potentials.- Jozef Ka?ur: Application of Rothe's method to nonlinear parabolic boundary value problems.- Josef Král: Potentials and removability of singularities.- Vladimir Lovicar: Theorem of Fréchet and asymptotically almost periodid solutions of.
Author : Laurent Veron
Publisher : World Scientific
Page : 474 pages
File Size : 48,45 MB
Release : 2017-05-05
Category : Mathematics
ISBN : 9814730343
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:
Author : Olli Martio
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 32,2 MB
Release : 2008-11-09
Category : Mathematics
ISBN : 0387855882
Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.
Author : Vladimir Maz'ya
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 46,76 MB
Release : 2008-12-02
Category : Mathematics
ISBN : 038785648X
This volume mark’s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.