4 papers
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…
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…
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…
Compactness of Palais-Smale sequences with controlled Morse Index for a Liouville type functional
Francesco Malizia
We prove that Palais-Smale sequences for Liouville type functionals on closed surfaces are precompact whenever they satisfy a bound on their Morse index. As a byproduct, we obtain…