Un teorema di esistenza per campi di orientori e applicazioni al problema libero del Calcolo delle Variazioni in dimensione infinita

Summary We prove a compactness theorem for a sequence of functions which take values in an infinite dimensional Hilbert space and which satisfy a differential inclusion, related to a map Q. Then we give sufficient conditions for the existence of an optimal solution of a free Lagrange problem, always in the infinite dimensional case, applying the theorem previously proved to a minimizing sequence.

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Entrata in Redazione il 19 maggio 1978.