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

Published online by Cambridge University Press:  12 July 2007

François Ebobisse  and
Marcello Ponsiglione
François Ebobisse
Affiliation:
SISSA, Via Beirut 2-4, 34014 Trieste, Italyebobisse@sissa.it;
Marcello Ponsiglione
Affiliation:
SISSA, Via Beirut 2-4, 34014 Trieste, Italyponsigli@sissa.it
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 5 , October 2003 , pp. 1031 - 1046
Copyright
Copyright © Royal Society of Edinburgh 2003

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