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math.AP2026
Asymptotic behavior of ground state solutions to nonlinear elliptic problems with the fractional Laplacian
Jinge Yang, Jianfu Yang
In this paper, we consider the asymptotic behavior of the ground state solution of the nonlinear fractional Laplacian equation \begin{equation}\label{eq:0.1a} (-Î)^su+Vu=|u|…
math.AP2024
Fractional Gross-Pitaevskii equations in non-Gaussian attractive Bose-Einstein condensates
Jinge Yang, Jianfu Yang
In this paper, we investigate normalized solutions of a fractional Gross-Pitaevskii equation, which arises in an attractive Bose-Einstein condensation consisting of bosons movi…