| Issue |
ESAIM: COCV
Volume 20, Number 1, January-March 2014
|
|
|---|---|---|
| Page(s) | 42 - 77 | |
| DOI | https://doi.org/10.1051/cocv/2013053 | |
| Published online | 03 September 2013 | |
Dimension reduction for −Δ1
1
Dipartimento di Matematica, Universita’ degli Studi di
Salerno, via Ponte Don
Melillo, 84084
Fisciano ( SA), Italy
emamendola@unisa.it
2
DSBGA, Universita’ del Sannio, Benevento
Italy
ggargiul@unisannio.it
3
Dipartimento di Ingegneria Industriale, Universita’ degli Studi di
Salerno, via Ponte Don
Melillo, 84084
Fisciano ( SA), Italy
ezappale@unisa.it
Received:
24
May
2012
Revised:
4
January
2013
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.
Mathematics Subject Classification: 35J92 / 49J45 / 49K20 / 49M29
Key words: 1–Laplacian / Γ–convergence / least gradient functions / dimension reduction / duality
© EDP Sciences, SMAI, 2013
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