Jean Van Schaftingen

activity

20092025

most citedGroundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency

95 citations · 342 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.CA2016★ 6 cited

Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

Sagun Chanillo, Jean Van Schaftingen, Po-Lam Yung

We offer a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on $R^{n}$ . We use this idea to extend the result to real hyperbolic spaces $\mathbb{…

math.AP2016★ 38 cited

Existence of groundstates for a class of nonlinear Choquard equations in the plane

Luca Battaglia, Jean Van Schaftingen

We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard equation $- Δ u + u = (I_{α} * F (u)) F^{'} (u) in R^{2},$ where $I_{α}$ is the…