35 citations · 35 across the 2 of their papers we have counts for
2 papers
math.AP2012★ 35 cited
Desingularization of vortex rings and shallow water vortices by semilinear elliptic problem
Sébastien de Valeriola, Jean Van Schaftingen
Steady vortices for the three-dimensional Euler equation for inviscid incompressible flows and for the shallow water equation are constructed and showed to tend asymptotically to s…
math.AP2012
Normalized solutions of nonlinear Schrödinger equations
Thomas Bartsch, Sébastien de Valeriola
We consider the problem -Δu - g(u) = λu, u \in H^1(\R^N), \int_{\R^N} u^2 = 1, λ\in\R, in dimension . Here is a superlinear, subcritical, possibly nonhomogeneous, odd no…