The cohomological span of \(\mathcal{LS}\)-Conley index

DOI10.1016/J.JDE.2015.07.002zbMath1352.37045OpenAlexW949956713MaRDI QIDQ496718

Jakub Maksymiuk

Publication date: 22 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.07.002

zbMATH Keywords

critical point theoryConley indexstrongly indefinite operator

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (1)

Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morse cohomology in a Hilbert space via the Conley index
• Conley index in Hilbert spaces and the Leray-Schauder degree
• Morse theory and asymptotic linear Hamiltonian system
• On the Conley index in Hilbert spaces in the absence of uniqueness
• Degenerate critical points, homotopy indices and Morse inequalities.
• Sign-changing critical points from linking type theorems
• An infinite dimensional Morse theory with applications
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Methods in Nonlinear Analysis
• Periodic solutions of asymptotically linear Hamiltonian systems
• A cohomological Conley index in Hilbert spaces and applications to strongly indefinite problems

This page was built for publication: The cohomological span of \(\mathcal{LS}\)-Conley index