5 citations · 7 across the 5 of their papers we have counts for
7 papers
Positivity and non-positivity results for the sixth-order -curvature of conformal metrics in
Jérôme Vétois, Samuel Zeitler
Given such that , letting be a conformally Euclidean metric on , we consider the question of positivity of the lower-order -curv…
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 $…
A note on the classification of positive solutions to the critical p-Laplace equation in
Jérôme Vétois
In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in with and for some number $p_n\in\left(\f…
Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds
Jérôme Vétois
On a smooth, closed Riemannian manifold of dimension with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only…
Sign-changing blow-up for the Yamabe equation at the lowest energy level
Bruno Premoselli, Jérôme Vétois
We investigate the blow-up behavior of sequences of sign-changing solutions for the Yamabe equation on a Riemannian manifold of positive Yamabe type. For each dimension $n\…
Stability and instability results for sign-changing solutions to second-order critical elliptic equations
Bruno Premoselli, Jérôme Vétois
On a smooth, closed Riemannian manifold of dimension , we consider the stationary Schrödinger equation , where $Δ_g:=-\…