For masses c in (0, 2π M̂(Q)), the semivirial-vanishing variational problem m_c on R^d × T admits a normalized Dancer-type optimizer solving the focusing mass-critical NLS.
Critical scattering for the nonlinear S chr \"o dinger equation on waveguide manifolds
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2026 2verdicts
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Constructs normalized ground states for the critical Lane-Emden equation on waveguide manifolds for every mass via a new sub-bubbling estimate that produces an energy drop from the periodic direction.
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Sharp mass-threshold for Dancer-type solutions of the focusing mass-critical NLS on $\Bbb R^d\times\Bbb T$
For masses c in (0, 2π M̂(Q)), the semivirial-vanishing variational problem m_c on R^d × T admits a normalized Dancer-type optimizer solving the focusing mass-critical NLS.
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On Dancer-type solutions for the Lane--Emden equation via semivirial-vanishing geometry
Constructs normalized ground states for the critical Lane-Emden equation on waveguide manifolds for every mass via a new sub-bubbling estimate that produces an energy drop from the periodic direction.