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January 1, 202135 citationsOpen Access

Normalized solutions for the fractional NLS with mass supercritical nonlinearity

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LALuigi AppolloniSSSimone Secchi

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Abstract

We investigate the existence of solutions to the fractional nonlinear Schrödinger equation (−Δ)su=f(u)−μu with prescribed L2-norm ∫Rjavax.xml.bind.JAXBElement@446caed1|u|2dx=m in the Sobolev space Hs(RN). Under fairly general assumptions on the nonlinearity f, we prove the existence of a ground state solution and a multiplicity result in the radially symmetric case.

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Cite This Study

Appolloni et al. (2021) studied this question.

synapsesocial.com/papers/6a8388fdf650762f88e310fdhttps://doi.org/10.1016/j.jde.2021.03.016
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