New applications of the calculus of variations in the large to nonlinear elasticity

DOI10.1007/BF01646612zbMath0291.58007MaRDI QIDQ1211300

Melvyn S. Berger

Publication date: 1974

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) 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) Variational principles of physics (49S05)

Related Items

Local algebras of differential operators ⋮ Topological characteristics of extremals of variational problems ⋮ On the singularities of nonlinear Fredholm operators ⋮ Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II

Cites Work

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• Morse theory and a non-linear generalization of the Dirichlet problem
• Morse theory on Hilbert manifolds
• Non-linear buckling of circular elastic plates
• An Infinite Dimensional Version of Sard's Theorem
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions