On topological characteristics of Lipschitz functionals

DOI10.1007/BF02482600zbMath0944.58007OpenAlexW2029873434MaRDI QIDQ1281518

V. S. Klimov

Publication date: 18 September 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482600

zbMATH Keywords

Euler-Poincaré characteristicnondegeneratePoincaré-Hopf theoremset-valued operatorsintegral homologycontinuous vector fieldseparable reflexive Banach spacestrongly Lipschitzian domain

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Local theory of Banach spaces (46B07) Duality and reflexivity in normed linear and Banach spaces (46B10) Singular homology and cohomology theory (55N10)

Cites Work

• Unnamed Item
• A critical point theory for nonsmooth functionals
• Multiple periodic solutions of asymptotically linear hamiltonian systems
• Nonlinear elliptic boundary value problems and the generalized topological degree

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