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20092025
most citedOn the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: Regularity and geometric results

25 citations · 127 across the 25 of their papers we have counts for

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math.AP2024

A sharp quantitative nonlinear Poincaré inequality on convex domains

Vincenzo Amato, Dorin Bucur, Ilaria Fragalà

For any , we give a new inequality for the first nontrivial Neumann eigenvalue of the -Laplacian on a convex domain wi…

math.SP2024

The geometric size of the fundamental gap

Vincenzo Amato, Dorin Bucur, Ilaria Fragalà

The fundamental gap conjecture proved by Andrews and Clutterbuck in 2011 provides the sharp lower bound for the difference between the first two Dirichlet Laplacian eigenvalues in…