Bruno Premoselli

activity

20242026

collaborators

5 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 following type: $Lu = ∣ u ∣^{2^{♯} - 2} u in I^c ◯$ with Dirichlet boundary conditions, in a smooth bounded doma…

math.AP2026

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 BrÃ©zis-Nirenberg problem in the non-coercive case in dimension $3$

Hussein Cheikh Ali, Bruno Premoselli

Let $I^c ◯$ be a bounded, smooth domain of $R^{n}, n \geq 3$ and $I^» \geq 0$ . We consider the celebrated BrÃ©zis-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 $I^c ◯$ 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…