We prove necessary conditions for a solution u to the problem of minimizing fΩ[f (∥∇v (x)∥) + g(x,v(x))]dx in the form of a Pontryagin maximum principle, for f convex and satisfying a growth assumption, but without assuming differentiability. © 2009 Society for Industrial and Applied Mathematics.

Cellina, A., & Mazzola, M. (2009). Necessary conditions for solutions to variational problems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48, 2977-2983.

Necessary conditions for solutions to variational problems

CELLINA, ARRIGO;
2009

Abstract

We prove necessary conditions for a solution u to the problem of minimizing fΩ[f (∥∇v (x)∥) + g(x,v(x))]dx in the form of a Pontryagin maximum principle, for f convex and satisfying a growth assumption, but without assuming differentiability. © 2009 Society for Industrial and Applied Mathematics.
Articolo in rivista - Articolo scientifico
Scientifica
Equazione di Eulero Lagrange; non differenziabilita'
English
2977
2983
Cellina, A., & Mazzola, M. (2009). Necessary conditions for solutions to variational problems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48, 2977-2983.
Cellina, A; Mazzola, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/8664
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