Minimizing a functional depending on $\nabla u$ and on $u$

Arrigo Cellina

doi:10.1016/s0294-1449(97)80140-0

JournalsaihpcVol. 14, No. 3pp. 339–352

Minimizing a functional depending on $\nabla u$ and on $u$

Arrigo Cellina
S.I.S.S.A./I.S.A.S., via Beirut 2/4, 34013 Trieste (I) Italy

$Minimizing a functional depending on $\nabla u$ and on $u$ cover$

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Abstract

We prove existence of solutions for a class of minimum problems of the Calculus of Variations, where the integrand depends both on $\nabla u$ and on $u$ .

Résumé

On donne un théorème d’existence de solutions pour un problème du calcul des variations ou la fonctionnelle dépend de $u$ et de $\nabla u$ .

Cite this article

Arrigo Cellina, Minimizing a functional depending on $\nabla u$ and on $u$ . Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (1997), no. 3, pp. 339–352

DOI 10.1016/S0294-1449(97)80140-0