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.FA2025★ 1 cited

Trace theory for gauge-covariant Sobolev spaces

Jean Van Schaftingen, Leon Winter

The traces of gauge-covariant Sobolev spaces on a Riemannian vector bundle for some connection are characterised as some gauge-covariant fractional Sobolev spaces when the curvatur…

math.FA2020★ 52 cited

A surprising formula for Sobolev norms

Haim Brezis, Jean Van Schaftingen, Po-Lam Yung

We establish the equivalence between the Sobolev semi-norm $∥\nabla u ∥_{L^{p}}$ and a quantity obtained when replacing the strong $L^{p}$ by a weak $L^{p}$ norm in the Gagliardo semi-n…

math.FA2017★ 4 cited

Higher order weak differentiability and Sobolev spaces between manifolds

Alexandra Convent, Jean Van Schaftingen

We define the notion of higher-order colocally weakly differentiable maps from a manifold $M$ to a manifold $N$ . When $M$ and $N$ are endowed with Riemannian metrics, $p \geq 1$ and…