Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 306-311.

• Articles • Previous Articles     Next Articles

Remark on Isoperimetric Inequalities in the Wullf Case

Ma Lei1, Zeng Chunna2   

  1. 1. Gaozhou Normal College, Guangdong University of Petrochemical Technology, Guangdong Gaozhou 525200;
    2. College of Mathematics Science, Chongqing Normal University, Chongqing 400047
  • Received:2013-10-21 Revised:2014-12-13 Online:2015-04-25 Published:2015-04-25

Abstract:

In this paper we investigate some isoperimetric inequalities in the Wulff case. Via certain quantity of convex domains variation (monotonicity, invariance) in the Wulff case, we give a simplified proof of Wulff-Gage isoperimetric inequality and the Wulff-entropy inequality for curvature. Finally, we obtain a new inequality in the Wulff case.

Key words: Wulff curvature, Wulff-Gage isoperimetric inequality, Wulff-entropy inequality for curvature, Convex domains

CLC Number: 

  • O186.5
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