2 papers
math.MG2004
A Generalized Affine Isoperimetric Inequality
Wenxiong Chen, Ralph Howard, Erwin Lutwak +2
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-…
math.AP2003
Qualitative Properties of Solutions for an Integral Equation
Wenxiong Chen, Congming Li, Biao Ou
Let be a positive integer and let In this paper, we continue our study of the integral equation $$ u(x) = \int_{R^{n}} \frac{u(y)^{(n+α)(n-α)}{|x - y|^{n-α}}dy.$$ W…