On a notion of unilateral slope for the Mumford-Shah functional
- Cite this article as:
- Maso, G.D. & Toader, R. Nonlinear differ. equ. appl. (2007) 13: 713. doi:10.1007/s00030-006-4054-4
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In this paper we introduce a notion of unilateral slope for the Mumford-Shah functional, and provide an explicit formula in the case of smooth cracks. We show that the slope is not lower semicontinuous and study the corresponding relaxed functional.