isoperimetric regions
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2019 ◽  
Vol 368 (2) ◽  
pp. 777-798
Author(s):  
Otis Chodosh ◽  
Michael Eichmair ◽  
Yuguang Shi ◽  
Jintian Zhu

2016 ◽  
Vol 4 (1) ◽  
Author(s):  
Frank Morgan

AbstractWe give an example of a smooth surface of revolution for which all circles about the origin are strictly stable for fixed area but small isoperimetric regions are nearly round discs away from the origin.


Author(s):  
Wyatt Boyer ◽  
Bryan Brown ◽  
Gregory R. Chambers ◽  
Alyssa Loving ◽  
Sarah Tammen

AbstractWe show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.


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