Conley index of nontrivial invariant sets in a Hilbert space

DOI10.1134/S0012266108020067zbMath1187.37025MaRDI QIDQ843661

Yu. O. Kuznetsov

Publication date: 15 January 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

existence theoremsinvariant setsHilbert spacesConley indexequilibriaseparatricies

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fixed-point theorems on manifolds (58C30) Index theory for dynamical systems, Morse-Conley indices (37B30)

Cites Work

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• A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology
• Dual variational methods in critical point theory and applications
• Critical point theory on partially ordered Hilbert spaces

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