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math.MG2012
Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities
Sergey Bobkov, Andrea Colesanti, Ilaria Fragalà
We extend to a functional setting the concept of quermassintegrals, well-known within the Minkowski theory of convex bodies. We work in the class of quasi-concave functions defined…
math.AP2012★ 4 cited
A new symmetry criterion based on the distance function and applications to PDE's
Graziano Crasta, Ilaria Fragalà
We prove that, if is an open bounded starshaped domain of class , the constancy over of the function $$φ(y) = \int_0^{λ(y)} \prod_{j=1}^{n…