Nonlinear Potential Theory On Metric Spaces
Download Nonlinear Potential Theory On Metric Spaces full books in PDF, epub, and Kindle. Read online free Nonlinear Potential Theory On Metric Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Nonlinear Potential Theory on Metric Spaces
Author | : Anders Björn,Jana Björn |
Publsiher | : European Mathematical Society |
Total Pages | : 422 |
Release | : 2011 |
Genre | : Harmonic functions |
ISBN | : 303719099X |
Download Nonlinear Potential Theory on Metric Spaces Book in PDF, Epub and Kindle
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
![Nonlinear Potential Theory on Metric Spaces](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Tero Mäkäläinen |
Publsiher | : Unknown |
Total Pages | : 98 |
Release | : 2008 |
Genre | : Embedding theorems |
ISBN | : 9513932699 |
Download Nonlinear Potential Theory on Metric Spaces Book in PDF, Epub and Kindle
Nonlinear Potential Theory and Weighted Sobolev Spaces
Author | : Bengt O. Turesson |
Publsiher | : Unknown |
Total Pages | : 194 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 3662165732 |
Download Nonlinear Potential Theory and Weighted Sobolev Spaces Book in PDF, Epub and Kindle
Nonlinear Potential Theory of Degenerate Elliptic Equations
Author | : Juha Heinonen,Tero Kipelainen,Olli Martio |
Publsiher | : Courier Dover Publications |
Total Pages | : 416 |
Release | : 2018-05-16 |
Genre | : Mathematics |
ISBN | : 9780486830469 |
Download Nonlinear Potential Theory of Degenerate Elliptic Equations Book in PDF, Epub and Kindle
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
Author | : Paolo Ciatti |
Publsiher | : World Scientific |
Total Pages | : 460 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9789812811066 |
Download Topics in Mathematical Analysis Book in PDF, Epub and Kindle
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.
Nonlinear Potential Theory and Weighted Sobolev Spaces
![Nonlinear Potential Theory and Weighted Sobolev Spaces](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Bengt Ove Turesson |
Publsiher | : Unknown |
Total Pages | : 171 |
Release | : 1995 |
Genre | : Nonlinear theories |
ISBN | : 9178715490 |
Download Nonlinear Potential Theory and Weighted Sobolev Spaces Book in PDF, Epub and Kindle
Nonlinear Operator Theory in Probablistic Metric Spaces
Author | : Shih-sen Chang,Yeol Je Cho,Sin-min Kang |
Publsiher | : Nova Publishers |
Total Pages | : 358 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 1560729805 |
Download Nonlinear Operator Theory in Probablistic Metric Spaces Book in PDF, Epub and Kindle
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.
Sobolev Spaces on Metric Measure Spaces
Author | : Juha Heinonen,Pekka Koskela,Nageswari Shanmugalingam,Jeremy T. Tyson |
Publsiher | : Cambridge University Press |
Total Pages | : 447 |
Release | : 2015-02-05 |
Genre | : Mathematics |
ISBN | : 9781107092341 |
Download Sobolev Spaces on Metric Measure Spaces Book in PDF, Epub and Kindle
This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.