Global Integrability And Degenerate Quasilinear Elliptic Equations
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Global Integrability And Degenerate Quasilinear Elliptic Equations
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Author : Peter Lindqvist
language : en
Publisher:
Release Date : 1990
Global Integrability And Degenerate Quasilinear Elliptic Equations written by Peter Lindqvist and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Differential equations, Elliptic categories.
Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order
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Author : A. V. Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order written by A. V. Ivanov 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 1984 with Mathematics categories.
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 undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.
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.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Potential Theory Selected Topics
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Author : Hiroaki Aikawa
language : en
Publisher: Springer
Release Date : 2006-11-14
Potential Theory Selected Topics written by Hiroaki Aikawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis.
Quasilinear Elliptic Equations With Degenerations And Singularities
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Author : Pavel Drábek
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-22
Quasilinear Elliptic Equations With Degenerations And Singularities written by Pavel Drábek 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 2011-07-22 with Mathematics categories.
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
Selected Papers On Differential Equations And Analysis
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Selected Papers On Differential Equations And Analysis written by 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 2005 with Mathematics categories.
This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics, including differential equations with free boundary, singular integral operators, operator algebras, and relations between the Brownian motion on a manifold with function theory. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations."
Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of The Second Order
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Author : A. V. Ivanov
language : en
Publisher:
Release Date : 1984
Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of The Second Order written by A. V. Ivanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Complex Analysis And Differential Equations
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Author : Christer Kiselman
language : en
Publisher:
Release Date : 1999
Complex Analysis And Differential Equations written by Christer Kiselman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.