activity
20022026
most citedOn the Hardy-Schrödinger operator with a boundary singularity

27 citations · 94 across the 26 of their papers we have counts for

collaborators

29 papers

math.NA2026

Beyond the analytic solution manufacturing for anisotropic elliptic equations

Fabrice Deluzet, Valdimir Latocha, Frédéric Robert

This article is aimed at introducing a new procedure to define reference solutions to which the numerical approximations of anisotropic problems arising in plasma physics may be co…

math.AP2019★ 2 cited

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…

math.AP2019★ 4 cited

Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Let be a smooth bounded domain in () such that . In this memoir, we consider issues of non-existence, existence, and multiplicity of var…

math.AP2018

The Hardy--Schrödinger Operator on the Poincaré Ball: Compactness and Multiplicity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Let be a compact smooth domain containing zero in the Poincaré ball model of the Hyperbolic space () and let be the Laplace-Bel…

math.AP2018★ 1 cited

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…

math.AP2017★ 1 cited

Mass and Asymptotics associated to Fractional Hardy-Schrödinger Operators in Critical Regimes

Nassif Ghoussoub, Frédéric Robert, Shaya Shakerian +1

We consider linear and non-linear boundary value problems associated to the fractional Hardy-Schrödinger operator on domains of $…