Cheeger Sets for Rotationally Symmetric Planar Convex Bodies
Cheeger Sets for Rotationally Symmetric Planar Convex Bodies
Abstract In this note we obtain some properties of the Cheeger set $$C_\varOmega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>Ω</mml:mi> </mml:msub> </mml:math> associated to a k -rotationally symmetric planar convex body $$\varOmega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Ω</mml:mi> </mml:math> . More precisely, we prove that $$C_\varOmega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>Ω</mml:mi> </mml:msub> …