Junwei Yu

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math.AP2025

Normalized solutions for the Sobolev critical SchrÃ¶dinger equation with trapping potential

Junwei Yu

We study the existence and multiplicity of positive normalized solutions with prescribed $L^{2}$ -norm for the Sobolev critical SchrÃ¶dinger equation $-ÎU + V(x) U = Î»U + |U|^{2^*…

math.AP2025

Energy local minimizers for the nonlinear SchrÃ¶dinger equation on product spaces

Dario Pierotti, Gianmaria Verzini, Junwei Yu

We investigate the existence of local minimizers with prescribed $L^{2}$ -norm for the energy functional associated to the mass-supercritical nonlinear SchrÃ¶dinger equation on the pr…

math.AP2025

Normalized solutions for the nonlinear SchrÃ¶dinger equation with potential: the purely Sobolev critical case

Gianmaria Verzini, Junwei Yu

We study the existence and multiplicity of positive solutions in $H^{1} (R^{N})$ , $N \geq 3$ , with prescribed $L^{2}$ -norm, for the (stationary) nonlinear SchrÃ¶dinger equation with…