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.File in questo prodotto:
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