Lusternik-Schnirelman category theory on closed subsets of Banach manifolds

DOI10.1016/0022-247X(90)90051-GzbMath0709.58012MaRDI QIDQ921675

Tixiang Wang

Publication date: 1990

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

zbMATH Keywords

minimization problemclosed subsetsgeodesic problemLusternik- Schnirelman category theory on Banach manifoldspseudogradient

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

Unnamed Item ⋮ Geometrical and topological methods in optimal control theory ⋮ Topological characteristics of extremals of variational problems ⋮ Minimax theorems and its applications in locally convex subsets of banach manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• On geodesic with the same angle
• A general approach to Morse theory
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Quasi-tangent vectors in flow-invariance and optimization problems on Banach manifolds
• Lusternik-Schnirelman theory on Banach manifolds
• Morse theory on Hilbert manifolds
• On some types of geodesics on Riemannian manifolds

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