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arXiv 2014-10-03 0 views

Critical and subcritical fractional problems with vanishing potentials

Ó, João Marcos do · Miyagaki, Olimpio H. · Squassina, Marco

Original · EN

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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