Variational Methods, Lusternik-Schnirelman Theory and Applications: Critical point theory and Minmax methods - Couverture souple

Degla, Guy; Okpala, Mmaduabuchi E.

 
9783659273834: Variational Methods, Lusternik-Schnirelman Theory and Applications: Critical point theory and Minmax methods
Couverture souple
ISBN 10 : 365927383X ISBN 13 : 9783659273834
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

This project concerns mainly the study of the critical point Theory of Lusternik-Schnirelman which relies deeply on concepts from Nonlinear Analysis, Topology and Geometry, and has numerous applications to Variational Problems and Partial Differential Equations (PDEs) of variational nature. We first survey the general variational principles and provide the underlying abstract setting need for the theory and its applications. Secondly we present a very successful min-max method (Ambrosetti-Rabinowitz Mountain-pass theorem) based on the Palais-Smale (compactness) condition and followed by examples. Afterwards we introduce progressively the Lusternik-Schrenirelman theories in Euclidean spaces (finite dimensional case) and in Hilbert spaces as well as in uniformly convex Banach spaces (infinite dimensional cases), along with applications.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This project concerns mainly the study of the critical point Theory of Lusternik-Schnirelman which relies deeply on concepts from Nonlinear Analysis, Topology and Geometry, and has numerous applications to Variational Problems and Partial Differential Equations (PDEs) of variational nature. We first survey the general variational principles and provide the underlying abstract setting need for the theory and its applications. Secondly we present a very successful min-max method (Ambrosetti-Rabinowitz Mountain-pass theorem) based on the Palais-Smale (compactness) condition and followed by examples. Afterwards we introduce progressively the Lusternik-Schrenirelman theories in Euclidean spaces (finite dimensional case) and in Hilbert spaces as well as in uniformly convex Banach spaces (infinite dimensional cases), along with applications.

Biographie de l'auteur

PhD Functional Analysis and Applications, SISSA, Trieste, Italy.Researcher at the African University of Science and Technology (AUST), Abuja, Nigeria, and at the Institut de Mathematiques et de Sciences Physiques (IMSP), Porto-Novo, Benin.Joint Project with M.E. Okpala (Teaching Assistant, AUST).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
365927383X
ISBN 13 
9783659273834
Reliure
Broché
Nombre de pages
76
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
4950000000000
info@krega-onlinehandel.de

Birkenweg 31
Brakel
33034
Allemagne