Andrea Malchiodi

collaborators

2 papers

math.DG2025

Mass and volume of four-dimensional Einstein metrics

Matthew Gursky, Andrea Malchiodi

Let $(M^{4}, g ˉ)$ be an Einstein manifold, where $M^{4}$ is a smooth, closed, oriented four-manifold $M^{4}$ and $g ˉ$ has positive Einstein constant. Given a point $0 \in M^{4}$ ,…

math.AP2024

Compactness via monotonicity in nonsmooth critical point theory, with application to Born-Infeld type equations

Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1

In this paper, we prove new existence and multiplicity results for critical points of lower semicontinuous functionals in Banach spaces, complementing the nonsmooth critical point…