The mountain pass theorem : variants, generalizations and some applications /

This book presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The coverage includes standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Jabri, Youssef, 1970-
Format: Electronic eBook
Language:Inglés
Published: Cambridge ; New York : Cambridge University Press, 2003.
Series:Encyclopedia of mathematics and its applications ; v. 95.
Subjects:
Mountain pass theorem.
Critical point theory (Mathematical analysis)
Hamiltonian systems.
Variational principles.
Variational inequalities (Mathematics)
Maxima and minima.
Nonsmooth optimization.
Théorème du col.
Théorie des points critiques (Analyse mathématique)
Systèmes hamiltoniens.
Principes variationnels.
Inégalités variationnelles.
Maximums et minimums.
Optimisation non différentiable.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Hamiltonian systems
Maxima and minima
Mountain pass theorem
Nonsmooth optimization
Variational principles
Kritischer Punkt > Mathematik
Plateau-Problem
Online Access:Texto completo
Table of Contents:
  • Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Retrospective; 2 Palais-Smale Condition: Definitions and Examples; 3 Obtaining "Almost Critical Points"
  • Variational Principle; 4 Obtaining "Almost Critical Points"
  • The Deformation Lemma; 5 The Finite Dimensional MPT; 6 The Topological MPT; 7 The Classical MPT; 8 The Multidimensional MPT; 9 The Limiting Case in the MPT; 10 Palais-Smale Condition versus Asymptotic Behavior; 11 Symmetry and the MPT; 12 The Structure of the Critical Set in the MPT; 13 Weighted Palais-Smale Conditions.

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