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arxiv: 1209.0917 · v1 · pith:FKIKNLFPnew · submitted 2012-09-05 · 🧮 math.AP

Relative isoperimetric inequality in the plane: the anisotropic case

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keywords inequalityisoperimetricplanerelativeanisotropiccasecharacterizeconvex
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We prove a relative isoperimetric inequality in the plane, when the perimeter is defined with respect to a convex, positively homogeneous function of degree one, and characterize the minimizers.

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