We prove higher integrability properties of solutions to the problem of minimizing ∫ σ L(x, u(x),δu(x))dx, where X → L(x, u, X) is a convex function satisfying some additional conditions. As an application, we prove the validity of the Euler-Lagrange equation for a class of functionals with growth faster than exponentia

Bonfanti, G., Cellina, A., Mazzola, M. (2012). The higher integrability and the validity of the Euler-Lagrange equation for solutions to variational problems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 50(2), 888-899 [10.1137/110820890].

The higher integrability and the validity of the Euler-Lagrange equation for solutions to variational problems

BONFANTI, GIOVANNI
;
CELLINA, ARRIGO
;
MAZZOLA, MARCO
2012

Abstract

We prove higher integrability properties of solutions to the problem of minimizing ∫ σ L(x, u(x),δu(x))dx, where X → L(x, u, X) is a convex function satisfying some additional conditions. As an application, we prove the validity of the Euler-Lagrange equation for a class of functionals with growth faster than exponentia
Articolo in rivista - Articolo scientifico
Regularity of solutions; variational problems
English
2012
50
2
888
899
open
Bonfanti, G., Cellina, A., Mazzola, M. (2012). The higher integrability and the validity of the Euler-Lagrange equation for solutions to variational problems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 50(2), 888-899 [10.1137/110820890].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/48846
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