Morse theory and the calculus of variations

DOI10.1515/acv-2021-0057zbMath1530.58008OpenAlexW4200554070WikidataQ114007282 ScholiaQ114007282MaRDI QIDQ6077511

Anthony J. Tromba

Publication date: 18 October 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2021-0057

zbMATH Keywords

Morse theorycritical point theorycalculus of variations in several variables

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (1)

Nonuniformly elliptic Schauder theory

Cites Work

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• Fredholm vector fields and a transversality theorem
• A general approach to Morse theory
• Infinite dimensional Morse theory and multiple solution problems
• Morse theory and Hilbert's 19th problem
• Morse theory and a non-linear generalization of the Dirichlet problem
• Morse theory on Hilbert manifolds
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The Morse Lemma on Banach Spaces
• A generalized Morse theory

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