Stability of some unilateral free-discontinuity problems in two-dimensional domains

Author: Ebobisse François   Ponsiglione Marcello  

Publisher: Royal Society of Edinburgh

ISSN: 1473-7124

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.133, Iss.5, 2003-10, pp. : 1031-1046

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Abstract

The purpose of this paper is to study the stability of some unilateral free-discontinuity problems in two-dimensional domains, with the density of the volume part having p-growth, with 1 < p < ∞, under perturbations of the discontinuity sets in the Hausdorff metric.