Convergence from power-law to logarithm-law in nonlinear fractional Schrödinger equations

In this paper, we show a connection between fractional Schrödinger equations with power-law nonlinearity and fractional Schrödinger equations with logarithm-law nonlinearity. We prove that ground state solutions of power-law fractional equations, as p → 2+, converge to a ground state solution of log...

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Veröffentlicht in:Journal of mathematical physics 2023-01, Vol.64 (1)
Hauptverfasser: An, Xiaoming, Yang, Xian
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Sprache:eng
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