On the theories of Morse and Lusternik-Schnirelman for open bounded sets on Fredholm Hilbert manifolds

DOI10.1016/0022-247X(75)90040-2zbMath0303.58007MaRDI QIDQ1216090

Erich Rothe

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fredholm structures on infinite-dimensional manifolds (58B15)

Related Items (4)

Topological characteristics of extremals of variational problems ⋮ Origin and evolution of the Palais-Smale condition in critical point theory ⋮ A generalization of the Seifert-Threlfall proof for the Lusternik- Schnirelman category inequality ⋮ Morse theory on Banach manifolds

Cites Work

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• A generalization of the Seifert-Threlfall proof for the Lusternik- Schnirelman category inequality
• Morse theory in Hilbert space
• Critical point theory in Hilbert space under general boundary conditions
• Homotopy theory of infinite dimensional manifolds
• Lusternik-Schnirelman theory on Banach manifolds
• Morse Theorie für berandete Mannigfaltigkeiten. (Morse theory for bounded manifolds)
• Morse theory on Hilbert manifolds
• Inequalities of critical point theory
• Nonlinear Eigenvalue Problems and Group Invariance
• A generalized Morse theory

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