Nonlinear Potential Theory On Metric Spaces
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Nonlinear Potential Theory On Metric Spaces
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Author : Anders Björn
language : en
Publisher: European Mathematical Society
Release Date : 2011
Nonlinear Potential Theory On Metric Spaces written by Anders Björn and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Harmonic functions categories.
The $p$-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastics, nonlinear elasticity theory, and image processing. Its solutions, called p-harmonic functions, have been studied in various contexts since the 1960s, first on Euclidean spaces and later on Riemannian manifolds, graphs, and Heisenberg groups. Nonlinear potential theory of p-harmonic functions on metric spaces has been developing since the 1990s and generalizes and unites these earlier theories. This monograph gives a unified treatment of the subject and covers most of the available results in the field, so far scattered over a large number of research papers. The aim is to serve both as an introduction to the area for interested readers and as a reference text for active researchers. The presentation is rather self contained, but it is assumed that readers know measure theory and functional analysis. The first half of the book deals with Sobolev type spaces, so-called Newtonian spaces, based on upper gradients on general metric spaces. In the second half, these spaces are used to study p-harmonic functions on metric spaces, and a nonlinear potential theory is developed under some additional, but natural, assumptions on the underlying metric space. Each chapter contains historical notes with relevant references, and an extensive index is provided at the end of the book.
Nonlinear Potential Theory On Metric Spaces
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Author : Tero Mäkäläinen
language : en
Publisher:
Release Date : 2008
Nonlinear Potential Theory On Metric Spaces written by Tero Mäkäläinen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Embedding theorems categories.
Sobolev Spaces On Metric Measure Spaces
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Author : Juha Heinonen
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-05
Sobolev Spaces On Metric Measure Spaces written by Juha Heinonen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-05 with Mathematics categories.
This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.
Nonlinear Operator Theory In Probablistic Metric Spaces
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Author : Shih-sen Chang
language : en
Publisher: Nova Publishers
Release Date : 2001
Nonlinear Operator Theory In Probablistic Metric Spaces written by Shih-sen Chang and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The purpose of this book is to give a comprehensive introduction to the study of non-linear operator theory in probabilistic metric spaces. This book is introduced as a survey of the latest and new results on the following topics: Basic theory of probabilistic metric spaces; Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces; Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces; Coincidence point theorems, minimisation and fixed degree theorems in probabilistic metric spaces; Probabilistic contractors, accretive mappings and topological degree in probabilistic normed spaces; Nonlinear semigroups and differential equations in probabilistic metric spaces; KKM theorems, minimax theorems and variational inequalities.
Nonlinear Potential Theory And Weighted Sobolev Spaces
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Author : Bengt O. Turesson
language : en
Publisher:
Release Date : 2014-01-15
Nonlinear Potential Theory And Weighted Sobolev Spaces written by Bengt O. Turesson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Nonlinear Potential Theory And Weighted Sobolev Spaces
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Author : Bengt Ove Turesson
language : en
Publisher:
Release Date : 1995
Nonlinear Potential Theory And Weighted Sobolev Spaces written by Bengt Ove Turesson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Nonlinear theories categories.
Lectures On Analysis On Metric Spaces
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Author : Juha Heinonen
language : en
Publisher:
Release Date : 2011-04-26
Lectures On Analysis On Metric Spaces written by Juha Heinonen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-26 with 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 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.
Topics In Mathematical Analysis
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Author : Paolo Ciatti
language : en
Publisher: World Scientific
Release Date : 2008
Topics In Mathematical Analysis written by Paolo Ciatti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts.
Function Spaces And Potential Theory
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Author : David R. Adams
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Function Spaces And Potential Theory written by David R. Adams 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.
"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society