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
Do'O, J. M., Miyagaki, O. H., Squassina, M., Critical and subcritical fractional problems with vanishing potentials, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, 2016; 18 (N/A): 1550063-N/A. [doi:10.1142/S0219199715500637] [http://hdl.handle.net/10807/87076]
Critical and subcritical fractional problems with vanishing potentials
Squassina, MarcoUltimo
2016
Abstract
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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