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- W2087673535 abstract "In this paper we consider the time-independent one-dimensional non linear Schrödinger equation (NLS) with pointwise singular potential. We prove that when the strength of the pointwise interaction is less than a critical value, depending on the nonlinearity power σ, then a non linear real-valued bound state exists. Furthermore, we show that when σ is larger than 2 a further new real-valued stationary state appears under some conditions." @default.
- W2087673535 created "2016-06-24" @default.
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- W2087673535 date "2006-07-01" @default.
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- W2087673535 title "Stationary states for non linear one-dimensional Schrödinger equations with singular potential" @default.
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- W2087673535 doi "https://doi.org/10.1016/j.physd.2006.05.014" @default.
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