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• W3033283214 endingPage "6987" @default.
• W3033283214 startingPage "6941" @default.
• W3033283214 abstract "We study existence and properties of ground states for the nonlinear Schrödinger equation with combined power nonlinearities−Δu=λu+μ|u|q−2u+|u|p−2uin RN, N≥1, having prescribed mass∫RN|u|2=a2. Under different assumptions on q<p, a>0 and μ∈R we prove several existence and stability/instability results. In particular, we consider cases when2<q≤2+4N≤p<2⁎,q≠p, i.e. the two nonlinearities have different character with respect to the L2-critical exponent. These cases present substantial differences with respect to purely subcritical or supercritical situations, which were already studied in the literature. We also give new criteria for global existence and finite time blow-up in the associated dispersive equation." @default.
• W3033283214 created "2020-06-12" @default.
• W3033283214 creator A5086022998 @default.
• W3033283214 date "2020-10-01" @default.
• W3033283214 modified "2023-10-11" @default.
• W3033283214 title "Normalized ground states for the NLS equation with combined nonlinearities" @default.
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• W3033283214 doi "https://doi.org/10.1016/j.jde.2020.05.016" @default.
• W3033283214 hasPublicationYear "2020" @default.
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