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The Topology of Function Spaces and the Calculus of Variations in the Large

About this Title

L. A. Ljusternik. Translated by J. M. Danskin

Publication: Translations of Mathematical Monographs
Publication Year: 1967; Volume 16
ISBNs: 978-0-8218-1566-3 (print); 978-1-4704-4434-1 (online)
DOI: https://doi.org/10.1090/mmono/016
MathSciNet review: MR0217817

Table of Contents

Front/Back Matter

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Chapters

• General Principles of the Calculus of Variations in the Large
• Application to nonlinear integral equations
• Critical Sets of Geodesic Curves
• The Functional Space $R$ of Curves with Common Endpoints on the Sphere
• Closed Geodesics on Manifolds Homeomorphic to the $n$-Dimensional Sphere

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