We prove existence of solutions for a class of minimum problems of the Calculus of Variations, where the integrand depends both on ∇u and on u.
Cellina, A. (1997). Minimizing a functional depending on ∇u and on u. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 14(3), 339-352 [10.1016/S0294-1449(97)80140-0].
Minimizing a functional depending on ∇u and on u
CELLINA, ARRIGO
1997
Abstract
We prove existence of solutions for a class of minimum problems of the Calculus of Variations, where the integrand depends both on ∇u and on u.
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