Bruno Premoselli

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20242026

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5 papers · 1 filter

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.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…

math.AP2024

One-bubble nodal blow-up for asymptotically critical stationary SchrÃ¶dinger-type equations

We investigate in this work families $(u_{I^} µ)_{I^µ > 0}$ of sign-changing blowing-up solutions of asymptotically critical stationary nonlinear SchrÃ¶dinger equations of the following t…