A note on the isoperimetric inequality in the plane

2016/09/24 by Absos Ali Shaikh, Shaikh, Absos Ali, Chandan Kumar Mondal +1
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1609.08458

Abstract

It is well known that among all closed bounded curves in the plane with the given perimeter, the circle encloses the maximum area. There are many proofs in the literature. In this article we have given a new proof using some ideas of Demar.

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