Bruno Premoselli

activity

20132026

most citedThe Einstein-scalar field constraint system in the positive case

18 citations · 30 across the 17 of their papers we have counts for

collaborators

19 papers

math.AP2026

A priori bounds for energy-bounded solutions of critical polyharmonic equations

Lorenzo Carletti, Bruno Premoselli

We investigate critical polyharmonic equations of the type: $Lu = ∣ u ∣^{2^{♯} - 2} u in Ω$ with Dirichlet boundary conditions, in a smooth bounded domain $Ω$ of $…

math.AP2025

Compactness of conformal metrics with constant $Q$ -curvature of higher order

Saikat Mazumdar, Bruno Premoselli

Let $k \geq 1$ be a positive integer and let $P_{g}$ be the GJMS operator $P_{g}$ of order $2 k$ on a closed Riemannian manifold $(M, g)$ of dimension $n > 2 k$ . We investigate the compactne…

math.AP2025

Least-energy solutions of the Brézis-Nirenberg problem in the non-coercive case in dimension $3$

Hussein Cheikh Ali, Bruno Premoselli

Let $Ω$ be a bounded, smooth domain of $R^{n}, n \geq 3$ and $λ \geq 0$ . We consider the celebrated Brézis-Nirenberg problem: \begin{equation}\label{eq:critlambda:abs} \tag{*}…

math.DG2025

Extremising eigenvalues of the GJMS operators in a fixed conformal class

Emmanuel Humbert, Romain Petrides, Bruno Premoselli

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ . If $s$ is a positive integer satisfying $2 s < n$ , we let $P_{g}^{s}$ be the GJMS operator of order $2 s$ in $M$ . We inv…

math.AP2024

Compactness results for Sign-Changing Solutions of critical nonlinear elliptic equations of low energy

Hussein Cheikh-Ali, Bruno Premoselli

Let $Ω$ be a bounded, smooth connected open domain in $R^{n}$ with $n \geq 3$ . We investigate in this paper compactness properties for the set of sign-changing solutions $v \…

math.DG2024

Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions

Bruno Premoselli, Jérôme Vétois

We consider the problem of minimizing the second conformal eigenvalue of the conformal Laplacian in a conformal class of metrics with renormalized volume. We prove, in dimensions $…