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) |
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| creator | An, Xiaoming Yang, Xian |
| description | 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 logarithm-law fractional equations. In particular, we provide a new proof to the existence of a ground state of logarithm-law fractional Schrödinger equations. |
| doi_str_mv | 10.1063/5.0096488 |
| format | Article |
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| ispartof | Journal of mathematical physics, 2023-01, Vol.64 (1) |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Convergence Ground state Logarithms Mathematical analysis Nonlinearity Physics Power law Schrodinger equation |
| title | Convergence from power-law to logarithm-law in nonlinear fractional Schrödinger equations |
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