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

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3 papers · 1 filter

math.CA2021★ 21 cited

Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

Haïm Brezis, Jean Van Schaftingen, Po-Lam Yung

In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving $∣ u ∣_{W^{s, p}}$ , we establish alternative estimates where the stron…

math.CA2020★ 3 cited

Limiting Sobolev and Hardy inequalities on stratified homogeneous groups

Jean Van Schaftingen, Po-Lam Yung

We give a sufficient condition for limiting Sobolev and Hardy inequalities to hold on stratified homogeneous groups. In the Euclidean case, this condition reduces to the known canc…

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{…