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arxiv: 1508.02026 · v1 · pith:47JQK5FWnew · submitted 2015-08-09 · 🧮 math.AP

On the shape of the free boundary of variational inequalities with gradient constraints

classification 🧮 math.AP
keywords boundaryfreeconstraintsestimategradientinequalitiesnumbervariational
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In this paper we derive an estimate on the number of local maxima of the free boundary of some variational inequalities with pointwise gradient constraints. This also gives an estimate on the number of connected components of the free boundary.

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