Francesco Malizia

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20242026

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math.AP2026

Quantization for Palais-Smale sequences of the Liouville functional on closed surfaces

Andrea Malchiodi, Francesco Malizia, Luca Martinazzi

In this paper we prove a quantization property for Palais-Smale sequences of functionals related to Liouville equations on compact surfaces. While these equations have been extensi…

math.DG2026

Decreasing Weyl's energy by connected sums with locally conformally flat manifolds

Andrea Malchiodi, Francesco Malizia

We study the Weyl functional on connected sums of two four-dimensional manifolds $(M, g_{M})$ and $(Z, g_{Z})$ , assuming $g_{M}$ is Bach-flat and $g_{Z}$ locally conformally flat. We show th…