Index theory in nonlinear analysis

DOI10.1007/978-981-13-7287-2zbMath1420.37001OpenAlexW2946023921MaRDI QIDQ4631590

Chun-gen Liu

Publication date: 11 April 2019

Full work available at URL: https://doi.org/10.1007/978-981-13-7287-2

zbMATH Keywords

Morse indexnonlinear Hamiltonian systemsMaslov indexLagrangian paths

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory and related fixed-point theorems on manifolds (58J20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Lagrangian submanifolds; Maslov index (53D12) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Index theory for dynamical systems, Morse-Conley indices (37B30)

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