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 = Ï_n(x)|u|^{p-2}u, \quad n \in \mathbb{N}. \qquad…
math.AP2026
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…
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,…