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
Normalized solutions to mass supercritical Schrödinger equations with radial potentials
P. Carrillo, L. Jeanjean
We study the stationary nonlinear Schrödinger equation \begin{equation}-Îu+V(x)u+λu=|u|^{q-2}u,\quad u \in H^1(\mathbb{R}^N), \quad N \geq 2\end{equation} where $V \in L^{\infty…
math.AP2024
Infinitely many normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Pablo Carrillo, Damien Galant, Louis Jeanjean +1
We consider the existence of solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In an -supercritical regime, we establis…