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math.DG2025
Min-max theory and Yamabe metrics on conical four-manifolds
Mattia Freguglia, Andrea Malchiodi, Francesco Malizia
We prove existence of Yamabe metrics on four-manifolds possessing finitely-many conical points with -group, using for the first time a min-max scheme in the singular…
math.AP2025
Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics
Paolo Cosentino, Francesco Malizia
We prove that spike sequences related to a nonlinear problem of Grad-Shafranov type are always simple and always converge toward interior points of the domain. This sharpens the bl…
math.DG2025
Weyl energy and connected sums of four-manifolds
Andrea Malchiodi, Francesco Malizia
Given two closed, oriented Riemannian four-manifolds and , which are not locally conformally flat and not both self-dual or both anti-self-dual, we prove that th…