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 2010Show all

2 papers · 1 filter

math.AP2010★ 19 cited

Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres

Denis Bonheure, Jonathan Di Cosmo, Jean Van Schaftingen

We study positive bound states for the semiclassical stationary nonlinear Schrödinger equation. We are especially interested in solutions which concentrate on a lower dimensional s…

math.AP2010

Extremal functions in Poincare-Sobolev inequalities for functions of bounded variation

Vincent Bouchez, Jean Van Schaftingen

If $Ω \subset R^{n}$ is a smooth bounded domain and $q \in (0, \frac{n}{n - 1})$ we consider the Poincare-Sobolev inequality \[ c \Bigl(\int_Ω \abs{u}^\frac{n}{n-1}\Bigr)^{1-\frac{1}{n…