Lorenzo Carletti

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20242026

most citedThe Green's function of polyharmonic operators with diverging coefficients: Construction and sharp asymptotics

1 citations · 2 across the 4 of their papers we have counts for

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math.AP2025

Optimal Sobolev inequalities of high order with $L^{2}$ -remainder

Lorenzo Carletti, Frédéric Robert

We investigate the validity of the optimal higher-order Sobolev inequality $H_{k}^{2} (M^{n}) ↪ L^{\frac{2 n}{n - 2 k}} (M^{n})$ on a closed Riemannian manifold when the remainder t…

Optimal Sobolev inequalities of high order with L2-remainder

Optimal Sobolev inequalities of high order with $L^{2}$ -remainder