Nonlinear Potential Theory Of Degenerate Elliptic Equations
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Nonlinear Potential Theory Of Degenerate Elliptic Equations
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Author : Juha Heinonen
language : en
Publisher: Courier Dover Publications
Release Date : 2018-05-16
Nonlinear Potential Theory Of Degenerate Elliptic Equations written by Juha Heinonen and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.
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.
Nonlinear Potential Theory And Weighted Sobolev Spaces
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Author : Bengt O. Turesson
language : en
Publisher: Springer
Release Date : 2007-05-06
Nonlinear Potential Theory And Weighted Sobolev Spaces written by Bengt O. Turesson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.
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.
Nonlinear Evolution Equations And Potential Theory
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Author : J. Kral
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Evolution Equations And Potential Theory written by J. Kral and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Potential Theory And Degenerate Partial Differential Operators
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Author : Marco Biroli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Potential Theory And Degenerate Partial Differential Operators written by Marco Biroli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) forms on an abstract finite or infinite-dimensional space is common to all three disciplines. This is a fascinating and important subject, central to many of the contributions to the conference on `Potential Theory and Degenerate Partial Differential Operators', held in Parma, Italy, February 1994.
Potential Theory Icpt 94
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Author : Josef Kral
language : en
Publisher: Walter de Gruyter
Release Date : 2011-10-13
Potential Theory Icpt 94 written by Josef Kral and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Mathematics categories.
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.
Sobolev Spaces In Mathematics I
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Author : Vladimir Maz'ya
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-02
Sobolev Spaces In Mathematics I written by Vladimir Maz'ya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-02 with Mathematics categories.
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.
Moduli In Modern Mapping Theory
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Author : Olli Martio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-09
Moduli In Modern Mapping Theory written by Olli Martio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-09 with Mathematics categories.
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.
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations
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Author : Jan Malý
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations written by Jan Malý and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Boundary value problems categories.
The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.
Introduction To The Theory Of Nonlinear Elliptic Equations
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Author : Jindřich Nečas
language : en
Publisher:
Release Date : 1986
Introduction To The Theory Of Nonlinear Elliptic Equations written by Jindřich Nečas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Differential equations, Elliptic categories.
Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations Quasilinear Elliptic Singular Problems
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Author : Veron Laurent
language : en
Publisher: World Scientific
Release Date : 2017-05-05
Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations Quasilinear Elliptic Singular Problems written by Veron Laurent and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Mathematics categories.
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: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.