890 citations · 3.5k across the 69 of their papers we have counts for
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math.AP2009★ 92 cited
Desingularization of vortices for the Euler equation
Didier Smets, Jean Van Schaftingen
We study the existence of stationary classical solutions of the incompressible Euler equation in the plane that approximate singular stationnary solutions of this equation. The con…
math.AP2009★ 82 cited
Pathological solutions to elliptic problems in divergence form with continuous coefficients
Tianling Jin, Vladimir Maz'ya, Jean Van Schaftingen
We construct a function which is a solution to $\Div (A \nabla u)=0$ in the sense of distributions, where is continuous and $u \not \in…
math.AP2009★ 66 cited
Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials
Vitaly Moroz, Jean Van Schaftingen
We study the existence of stationnary positive solutions for a class of nonlinear Schroedinger equations with a nonnegative continuous potential V. Amongst other results, we prove…