3 papers
math.AP2026
Blow-up analysis and a priori bounds for NLS equations on metric graphs
Pablo Carrillo, Colette De Coster, Damien Galant +2
We consider, on a connected metric graph , a family of nonlinear Schrödinger equations $$ -u'' + W_n(x) u + λ_n u = ρ_n(x)|u|^{p-2}u, \quad n \in \mathbb{N}. \qquad (*…
math.AP2025
Multiplicity result for a mass supercritical NLS with a partial confinement
Louis Jeanjean, Linjie Song
We consider an NLS equation in with partial confinement and mass supercritical nonlinearity. In Bellazzini, Boussaid, Jeanjean and Visciglia (Comm. Math. Phys. 353,…
math.AP2025
Sign-changing prescribed mass solutions for -supercritical NLS on compact metric graphs
Louis Jeanjean, Linjie Song
This paper is devoted to the existence of multiple sign-changing solutions of prescribed mass for a mass-supercritical nonlinear Schrödinger equation set on a compact metric graph.…