Degenerate critical points, homotopy indices and morse inequalities III

DOI10.1017/S0004972700003531zbMath0669.58003MaRDI QIDQ3822868

E. Norman Dancer

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Morse theorycritical pointshomotopy index

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70)

Related Items (2)

Topological characteristics of extremals of variational problems ⋮ Peak solutions without non-degeneracy conditions

Cites Work

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• On the solvability of some elliptic partial differential equations with the linear part at resonance
• On differentiable functions with isolated critical points
• Relative neighborhoods and the theorems of Smale
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Cell-like mappings and their generalizations

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