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An existence theorem for Lagrange problems in Banach spaces
Authors:O. Caligaris  P. Oliva
Affiliation:(1) Istituto di Matematica, Università di Genova, Genova, Italy
Abstract:
We give an existence theorem for a Lagrange problem in a reflexive separable Banach space. We prove the main theorem by means of the direct method of the calculus of variations introduced by Tonelli.This work has been supported by the Laboratorio per la Matematica Applicata, Consiglio Nazionale delle Ricerche, Genova, Italy.The authors wish to thank Professor J. P. Cecconi who has drawn their attention to these problems.
Keywords:Lagrange problems  sufficient conditions  direct methods  semicontinuity  level sets compactness
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