Rajesh Mahadevan

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math-ph2026

A sharp three-particle fractional Hardy inequality and an angular Selberg-type identity

Rajesh Mahadevan, Franco Olivares, Andres Zuniga

We establish a sharp three-particle fractional Hardy inequality for the Laplacian of order $s \in (0, 1)$ in dimension $d \geq 4 - 2 s$ (Theorem 1.1), involving an explicit intrinsically…

math-ph2023

Mean field theory for a general class of short-range interaction functionals

Guy Bouchitté, Rajesh Mahadevan

In models of $N$ interacting particles in $R^{d}$ as in Density Functional Theory or crowd motion, the repulsive cost is usually described by a two-point function $c_\e(x,y) =\ell\B…