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The gallery length filling function and a geometric inequality for filling length
filling length filling function
2015/8/26
We exploit duality considerations in the study of singular combinatorial 2-discs ("diagrams") and are led to the following innovations concerning the geometry of the word problem for finite presentati...
An improved geometric inequality via vanishing moments, with applications to singular Liouville equations
Geometric PDEs Variational Methods Min-max Schemes
2012/6/14
We consider a class of singular Liouville equations on compact surfaces motivated by the study of Electroweak and Self-Dual Chern-Simons theories, the Gaussian curvature prescription with conical sing...
The Refinement and Reverse of a Geometric Inequality
Geometric inequality Best constant Triangle
2010/4/16
In this paper, we give a refinement and a reverse of a geometric inequality in a triangle posed by Jiang [2] by making use of the equivalent form of a fundamental inequality [6] and classic analysis.
The Best Constant for a Geometric Inequality
Best Constant Geometric Inequality Euler's Inequality Gerretsen's Inequality Sylvester's Resultant
2008/6/26
The Best Constant for a Geometric Inequality.
A Weighted Geometric Inequality and Its Applications
Triangle Point Polar moment of inertia inequality
2010/1/25
A new weighted geometric inequality is established by Klamkin's polar moment of inertia inequality and the inversion transformation, some interesting applications of this result are given, and some c...