English

Dimension reduction for $-\Delta_1$

Analysis of PDEs 2012-11-13 v1

Abstract

A 3D-2D dimension reduction for Δ1-\Delta_1 is obtained. A power law approximation from Δp-\Delta_p as p1p \to 1 in terms of Γ\Gamma- convergence, duality and asymptotics for least gradient functions has also been provided.

Keywords

Cite

@article{arxiv.1211.2540,
  title  = {Dimension reduction for $-\Delta_1$},
  author = {Maria Emilia Amendola and Giuliano Gargiulo and Elvira Zappale},
  journal= {arXiv preprint arXiv:1211.2540},
  year   = {2012}
}
R2 v1 2026-06-21T22:36:38.247Z