Uniqueness of positive radial ground states for the massive pseudo-relativistic nonlinear Schrödinger equation
Year: 2026
Type: preprint
Abstract: We study the semilinear pseudo-relativistic equation \[ \sqrt{-Δ+m^{2}}\,Q+ωQ=Q^{p-1}\qquad\text{in }\R^{d}, \] with $m>0$, $ω>0$, $d\ge1$ and $20$, which destroys the second relation used in the massless Frank--Lenzmann--Silvestre theory, is repaired by a mass-covariance identity. Global uniqueness follows by a continuation argument in the mass parameter, anchored at $m=0$ by the theorem of Frank--Lenzmann--Silvestre.
Source: arXiv (Cornell University)
Author: Lv, Zongyan
Institution: University of Science and Technology Beijing
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214797967