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arxiv: 1009.2595 · v1 · pith:L6Y4NL42new · submitted 2010-09-14 · 🧮 math.AP

Concentration on circles for nonlinear Schr\"odinger-Poisson systems with unbounded potentials vanishing at infinity

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keywords infinitynonlinearpotentialsschrsystemsunboundedvanishingapproach
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The present paper is devoted to weighted Nonlinear Schr\"odinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the existence of solutions concentrating on a circle.

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