Umfang:
1 Online-Ressource (xvi, 383 pages)
,
digital, PDF file(s).
ISBN:
9781316282397
Serie:
Encyclopedia of mathematics and its applications volume 162
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 08 Mar 2016)
Weitere Ausg.:
ISBN 9781107111943
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Molica Bisci, Giovanni, 1975 - Variational methods for nonlocal fractional problems Cambridge : Cambridge University Press, 2016 ISBN 9781107111943
Weitere Ausg.:
ISBN 1107111943
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Sobolev-Raum
;
Variationsrechnung
;
Funktionalanalysis
;
Partielle Differentialgleichung
DOI:
10.1017/CBO9781316282397
