Graphs with Potential Theory

Graphs with Potential Theory

Concepts,Methods, and Classification of Graphs by using p-Capacity

LAP Lambert Academic Publishing ( 2009-12-23 )

€ 59,00

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Graphs with Potential Theory This book is intended for very broad group of graduate students who wish to have a systematic introduction into the theory of nonlinear potential theory applied to graphs for future work. These objects are similar in many ways to Riemannian manifolds. The author focuses on topics such as p- Laplacian, p-harmonicity, p-Dirichlet spaces, p- capacity, extended divergence formula, p-Harnack inequality, p-hyperbolicity, and p-Poisson equations, while always using variational approach on discrete settings of graphs. The aim is to introduce the basic concepts and results coherently, and show how they are interconnected and interplayed. The treatment presupposes an introductory course on real analysis, and the knowledge of basic facts from potential theory. In the introduction, the author includes viable information on basics facts from graph theory, and the construction of spaces of functions on graphs.

Book Details:

ISBN-13:

978-3-8383-3496-7

ISBN-10:

3838334965

EAN:

9783838334967

Book language:

English

By (author) :

Lucio Prado

Number of pages:

156

Published on:

2009-12-23

Category:

Mathematics