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arxiv: 1302.2719 · v2 · pith:NIADJWXYnew · submitted 2013-02-12 · 🧮 math.AP

On the orbital stability of fractional Schr\"{o}dinger equations

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keywords dingerequationsfractionalorbitalschrstabilityestablishexistence
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We show the existence of ground state and orbital stability of standing waves of fractional Schr\"{o}dinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.

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