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arxiv: 1208.2545 · v2 · pith:AWGN23WEnew · submitted 2012-08-13 · 🧮 math.AP

Ground state solutions for nonlinear fractional Schr\"{o}dinger equations in mathbb{R}^N

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keywords dingerequationsfractionalschrsolutionsapproachclassconstruct
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We construct solutions to a class of Schr\"{o}dinger equations involving the fractional laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.

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