Existence of stable standing waves for the nonlinear Schrödinger equation with attractive inverse-power potentials
In this paper, we consider the following nonlinear Schrödinger equation with attractive inverse-power potentials $ i\partial_t\psi+\Delta\psi+\gamma|x|^{-\sigma}\psi+|\psi|^\alpha\psi = 0, \; \; \; (t, x)\in\mathbb{R}\times\mathbb{R}^N, $ where $ N\geq3 $, $ 0 < \gamma < \infty...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022332?viewType=HTML |