This paper studies the solutions of the minimum problem for a functional of the gradient under linear boundary conditions. A necessary and sufficient condition, based on the facial structure of the epigraph of the integrand, is provided for the continuous dependence of the solutions on boundary data.

A version of Olech's lemma in a problem of the calculus of variations / Cellina, A.; Zagatti, S.. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - 32:4(1994), pp. 1114-1127. [10.1137/S0363012992234669]

A version of Olech's lemma in a problem of the calculus of variations

Zagatti, S.
1994-01-01

Abstract

This paper studies the solutions of the minimum problem for a functional of the gradient under linear boundary conditions. A necessary and sufficient condition, based on the facial structure of the epigraph of the integrand, is provided for the continuous dependence of the solutions on boundary data.
1994
32
4
1114
1127
Cellina, A.; Zagatti, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13206
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