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arxiv: 1410.0843 · v3 · pith:RJV2HSISnew · submitted 2014-10-03 · 🧮 math.AP

Critical and subcritical fractional problems with vanishing potentials

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keywords criticalfractionalpotentialssubcriticalvanishingallowedbehaviorclass
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We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled.

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