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Springer Critical Point Theory and Hamiltonian Systems - Vol 74

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Description

Explore the advanced developments in critical point theory within infinite dimensional spaces. This academic text from Springer examines the recent progress made in applying these theories to nonlinear boundary value problems. It specifically addresses the significant results found in the classical problem of periodic solutions for Hamiltonian systems. This volume serves as a systematic guide to the fundamental tools required for mathematical research. Readers will find structured presentations of minimization, convex functions, and the Fenchel transform. The text also covers the dual least action principle and the Ekeland variational principle. It is designed for those studying minimax methods, Lusternik-Schirelmann theory for Z2 and S1 symmetries, and Morse theory. This book is a valuable resource for researchers and students working in applied mathematical sciences and nonlinear analysis.

Key Features

Provides a systematic presentation of basic tools in critical point theory including minimization and convex functions.

Covers essential mathematical concepts such as the Fenchel transform and the dual least action principle.

Detailed analysis of the Ekeland variational principle and various minimax methods.

Explores Lusternik-Schirelmann theory specifically for Z2 and S1 symmetries.

Includes study of Morse theory for possibly degenerate critical points.

Focuses on the application of these theories to nonlinear boundary value problems and Hamiltonian systems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 February 1989
Listed Since
10 December 2006

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