Jean Van Schaftingen

activity

20072023

most citedGroundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

890 citations · 3.5k across the 69 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.FA2018

Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

Jean Van Schaftingen

A free homotopy decomposition of any continuous map from a compact Riemmanian manifold $M$ to a compact Riemannian manifold $N$ into a finite number maps belong…

math.AP2018★ 14 cited

Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma

Daniel Spector, Jean Van Schaftingen

We prove a family of Sobolev inequalities of the form $∥ u ∥_{L^{\frac{n}{n - 1}, 1} (R^{n}, V)} \leq ∥ A (D) u ∥_{L^{1} (R^{n}, E)}$ where $A (D) : C^\i…

cs.CG2018★ 16 cited

Representing three-dimensional cross fields using 4th order tensors

Alexandre Chemin, François Henrotte, Jean-François Remacle +1

This paper presents a new way of describing cross fields based on fourth order tensors. We prove that the new formulation is forming a linear space in $R^{9}$ . The algebraic…