Abstract

2 Cutting Faber-Krahn inequalities 3 2.1 FK-functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Cutting a manifold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Non-parabolic case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 FK-functions in balls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.5 Relative FK-function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

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