Variational Methods, Lusternik-Schnirelman Theory And Applications: Critical Point Theory And Minmax Methods

Degla, Guy; Okpala, Mmaduabuchi E.; Degla, Guy; Okpala, Mmaduabuchi E.

ISBN 10: 365927383X / ISBN 13: 9783659273834

Edité par Lap Lambert Academic Publishing, 2012

76 pages. 8.66x5.91x0.18 inches. In Stock. N° de réf. du vendeur 365927383X

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.

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.

Détails bibliographiques

Titre : Variational Methods, Lusternik-Schnirelman ...
Éditeur : Lap Lambert Academic Publishing
Date d'édition : 2012
Reliure : Paperback
Etat : Brand New