Isoperimetry and Stability of Hyperplanes for Product Probability   Measures
  We investigate stationarity and stability of half-spaces as isoperimetric sets for product probability measures, considering the cases of coordinate and non-coordinate half-spaces. Moreover, we present several examples to which our results can be applied, with a particular emphasis on the logistic measure. 
Franck Barthe (IMT), Chiara Bianchini (IECN), Andrea Colesanti
math.FA math.PR