We propose a necessary and sufficient condition about the existence of variations, i.e., of non trivial solutions eta is an element of W-0(1,infinity) (Omega) to the differential inclusion del eta(x) is an element of -del u(x) + D.

We propose a necessary and sufficient condition about the existence of variations, i.e., of non trivial solutions eta; ∈ W<sub>0</sub><sup>1,∞</sup>(Ω) to the differential inclusion ∇ <sub>η</sub>(x) ∈ - ∇u(x) + D. © EDP Sciences, SMAI 2007.

Bertone, S., Cellina, A. (2007). On the existence of variations, possibly with pointwise gradient constraints. ESAIM. COCV, 13(2), 331-342 [10.1051/cocv:2007017].

On the existence of variations, possibly with pointwise gradient constraints

CELLINA, ARRIGO
2007

Abstract

We propose a necessary and sufficient condition about the existence of variations, i.e., of non trivial solutions eta; ∈ W01,∞(Ω) to the differential inclusion ∇ η(x) ∈ - ∇u(x) + D. © EDP Sciences, SMAI 2007.
Articolo in rivista - Articolo scientifico
variations; differential inclusions; necessary conditions
Calculus of variations, gradient constraints
English
2007
13
2
331
342
none
Bertone, S., Cellina, A. (2007). On the existence of variations, possibly with pointwise gradient constraints. ESAIM. COCV, 13(2), 331-342 [10.1051/cocv:2007017].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/11492
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