Kazunaga Tanaka

collaborators

3 papers

math.AP2026

A Lagrangian approach for prescribed mass solutions of cubic-quintic SchrÃ¶dinger equations and $L^{2}$ -supercritical problems

Silvia Cingolani, Marco Gallo, Kazunaga Tanaka

We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in $R^{N}$ ( $N \geq 2$ ): $$ (*)_m \quad - Îu + Î¼u = g(u) \quad \tex…

math.AP2025

Normalized ground states for NLS equations with mass critical nonlinearities

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study normalized solutions $(I^¼, u) \in R \times H^{1} (R^{N})$ to nonlinear SchrÃ¶dinger equations $$ -Îu + Î¼u = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}…

math.AP2025

Normalized solutions for nonlinear SchrÃ¶dinger equations with $L^{2}$ -critical nonlinearity

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study the following nonlinear SchrÃ¶dinger equation and we look for normalized solutions $(I^¼, u) \in R \times H^{1} (R^{N})$ for a given $m > 0$ and $N \geq 2$ \[ -Îu + Î¼u =…

A Lagrangian approach for prescribed mass solutions of cubic-quintic SchrÃ¶dinger equations and L2-supercritical problems

Normalized ground states for NLS equations with mass critical nonlinearities

Normalized solutions for nonlinear SchrÃ¶dinger equations with L2-critical nonlinearity

A Lagrangian approach for prescribed mass solutions of cubic-quintic SchrÃ¶dinger equations and $L^{2}$ -supercritical problems

Normalized solutions for nonlinear SchrÃ¶dinger equations with $L^{2}$ -critical nonlinearity