Variational Methods for Nonlocal Fractional Problems (Hardcover) (ISBN-13: 9781107111943)

This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.

Author: Giovanni Molica Bisci,Vicentiu D. Radulescu,Raffaella Servadei
ISBN-10: 1107111943
ISBN-13: 9781107111943
Publisher: Cambridge University Press
Language: English
Published: 03/11/2016
Pages: 400
Format: Hardcover
Weight: 1.60lbs
Size: 9.30h x 6.40w x 1.30d