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least gradient functions

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Dimension reduction for −Δ1
Maria Emilia Amendola, Giuliano Gargiulo, Elvira Zappale
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 20 / Issue 1 / January 2014

Published online by Cambridge University Press:

03 September 2013, pp. 42-77

Print publication:

January 2014
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A 3D-2D dimension reduction for −Δ1 is obtained. A power law approximation from −Δp as p → 1 in terms of Γ-convergence, duality and asymptotics for least gradient functions has also been provided.