128 citations · 524 across the 29 of their papers we have counts for
Showing 2010 · math.APShow all
2 papers · 2 filters
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★ 1 cited
Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity
Denis Bonheure, Jonathan Di Cosmo, Carlo Mercuri
The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, w…