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- W4311380075 abstract "We consider $L^{2}$ -constraint minimizers of the mass critical fractional Schrödinger energy functional with a ring-shaped potential $V(x)=(|x|-M)^{2}$ , where $M>0$ and $xin mathbb {R}^{2}$ . By analysing some new estimates on the least energy of the mass critical fractional Schrödinger energy functional, we obtain the concentration behaviour of each minimizer of the mass critical fractional Schrödinger energy functional when $anearrow a^{ast }=|Q|_{2}^{2s}$ , where $Q$ is the unique positive radial solution of $(-Delta )^{s}u+su-|u|^{2s}u=0$ in $mathbb {R}^{2}$ ." @default.
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- W4311380075 date "2022-12-14" @default.
- W4311380075 modified "2023-10-16" @default.
- W4311380075 title "Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials" @default.
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- W4311380075 doi "https://doi.org/10.1017/prm.2022.81" @default.
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