Infinite dimensional Morse theory and multiple solution problems pdf epub mobi txt 电子书下载 2024

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K.C. Chang

Birkhäuser Boston

1992

324

$159.00

Hardcover

Progress in Nonlinear Differential Equations and Their Applications

9780817634513

图书标签: 微分拓扑7 geometry analysis_and_PDE

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发表于2024-12-25

Infinite dimensional Morse theory and multiple solution problems epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Infinite dimensional Morse theory and multiple solution problems pdf epub mobi txt 电子书下载 2024

图书描述

This advanced graduate level monograph is the first to present a wide variety of critical point theorems in a unified framework. The author not only employs Morse theory as a tool to study multiple solutions to differential equations arising in the calculus of variations, but covers a broad range of applications to semilinear elliptic PDE, to dynamical systems and symplectic geometry, and to geometry of harmonic maps and minimal surfaces. Critical groups for isolated critical points or orbits - which provide more information than the Leray-Schauder index - are introduced.

Topics covered include basic Morse theory and its various extensions, minimax principles in Morse theory, and applications of semilinear boundary value problems, periodic solutions of Hamiltonian systems, and harmonic maps. In a self-contained appendix, the author presents Witten's proof of Morse inequalities.

Containing several new results, this volume will be attractive and germaine to researchers and graduate students working in nonlinear analysis, nonlinear functional analysis, partial differential equations, ordinary differential equations, differential geometry, and topology.

For research mathematicians, physicists and graduate students.

Infinite dimensional Morse theory and multiple solution problems 下载 mobi epub pdf txt 电子书