2 citations · 2 across the 2 of their papers we have counts for
9 papers
Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold
Saikat Mazumdar, Jérôme Vétois
On a smooth, closed Riemannian manifold, we study the question of proportionality of components, also called synchronization, of vector-valued solutions to nonlinear elliptic Schrö…
Sign-changing blow-up for the Moser-Trudinger equation
Luca Martinazzi, Pierre-Damien Thizy, Jérôme Vétois
Given a sufficiently symmetric domain , for any and we construct blowing-up solutions $(u_\varepsilon)\subset H^1_0(Ω…
Blowing-up solutions for second-order critical elliptic equations: the impact of the scalar curvature
Frédéric Robert, Jérôme Vétois
Given a closed manifold , , Olivier Druet proved that a necessary condition for the existence of energy-bounded blowing-up solutions to perturbations of the equat…
Sharp pointwise estimates for weighted critical -Laplace equations
Shaya Shakerian, Jérôme Vétois
We investigate the asymptotic behavior of solutions to a class of weighted quasilinear elliptic equations which arise from the Euler--Lagrange equation associated with the Caffarel…
Examples of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity
Florica C. Cîrstea, Frédéric Robert, Jérôme Vétois
The first two authors [Proc. Lond. Math. Soc. (3) {\bf 114}(1):1--34, 2017] classified the behaviour near zero for all positive solutions of the perturbed elliptic equation with a…
Convergence result and blow-up examples for the Guan--Li mean curvature flow on warped product spaces
Jérôme Vétois
We examine the question of convergence of solutions to a geometric flow which was introduced by Guan and Li for starshaped hypersurfaces in space forms and generalized by Guan, Li,…