Jonathan Di Cosmo

collaborators

2 papers

math.AP2011

Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima

Jonathan Di Cosmo, Jean Van Schaftingen

We study positive bound states for the equation $- ε^{2} Δ u + V u = u^{p}, in R^{N},$ where $ε > 0$ is a real parameter, $\frac{N}{N - 2} < p < \frac{N + 2}{N - 2}$ a…

math.AP2010

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…