Variational Methods for Nonlocal Fractional Problems

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science
Cover of the book Variational Methods for Nonlocal Fractional Problems by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei ISBN: 9781316570708
Publisher: Cambridge University Press Publication: March 11, 2016
Imprint: Cambridge University Press Language: English
Author: Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
ISBN: 9781316570708
Publisher: Cambridge University Press
Publication: March 11, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book The Dynamics of Bureaucracy in the US Government by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book The Human Rights Treaty Obligations of Peacekeepers by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Feminist Judgments by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Terrestrial Biosphere-Atmosphere Fluxes by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book From England to Bohemia by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book UN Human Rights Treaty Bodies by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book The Cambridge World History: Volume 1, Introducing World History, to 10,000 BCE by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Introduction to Modern Magnetohydrodynamics by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Algorithms and Models for Network Data and Link Analysis by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book John Donne and Baroque Allegory by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book The Cambridge Companion to Tennessee Williams by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Intimate Interventions in Global Health by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book The Insects by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Markets, Money and Capital by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Cover of the book Enhancing Public Innovation by Transforming Public Governance by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy