Resolvent Flows for Convex Functionals and p-Harmonic Maps

Kazuhiro Kuwae

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Complex calculus of variations

Michel Gondran, Rita Hoblos Saade (2003)

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In this article, we present a detailed study of the complex calculus of variations introduced in [M. Gondran: Calcul des variations complexe et solutions explicites d’équations d’Hamilton–Jacobi complexes. C.R. Acad. Sci., Paris 2001, t. 332, série I]. This calculus is analogous to the conventional calculus of variations, but is applied here to $𝐂^{n}$ functions in $𝐂$ . It is based on new concepts involving the minimum and convexity of a complex function. Such an approach allows us to propose...