About the Morse theory for certain variational problems

DOI10.1007/BF01456186zbMath0537.35006MaRDI QIDQ792537

Gerhard Ströhmer

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182958

zbMATH Keywords

Morse theoryPalais-Smale conditionEuler equationscompactnesscalculus of variationsmultiple integrals

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (max. 100)

Morse theory methods for a class of quasi-linear elliptic systems of higher order

Cites Work

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• Unstable solutions of the Euler equations of certain variational problems
• A general approach to Morse theory
• Morse theory and a non-linear generalization of the Dirichlet problem
• Linear and quasilinear elliptic equations
• Morse theory on Hilbert manifolds
• Unstable minimal surfaces of higher topological structure
• Instability for double integral problems in the calculus of variations
• On a critical point theory for minimal surfaces spanning a wire in Rn.
• Morse Theory. (AM-51)
• Marston Morse and his mathematical works

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