The Direct Methods in the Calculus of Variations

Michael Struwe
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Michael Struwe: Mathematik, ETH Zürich, ETH-Zentrum

Chapter Chapter I in Variational Methods, 1990, pp 1-65 from Springer

Abstract: Abstract A particular class of functional equations F(u) = 0, for u belonging to some Banach space V, is the class of Euler-Lagrange equations $$DE\left( u \right) = 0$$ for a functional E on V which is Fréchet differentiable with derivative DE. We call such equations of variational form.

Keywords: Periodic Solution; Minimal Surface; Admissible Function; Minimal Hypersurface; Banach Space Versus (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-3-662-02624-3_1

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