Bound state for the fractional Schrödinger equation with unbounded potential

By M. Cheng. 2012

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Ground state solutions of scalar field fractional Schrödinger equations (2015, methodology): “The nonlocal analysis that we perform here in order to use our abstract approach is quite general and successfully exploited for other goals in recent contributions; see [18,19,23,56] for an introduction to this topic and for a list of related references.”
Elliptic problems involving the fractional Laplacian in RN (2013, background): “Models governed by unbounded potentials V are investigated in [14] and in its recent extension [27].”
Existence of solutions for perturbed fractional p-Laplacian equations (2016, background): “Especially, models governed by unbounded potentials involving fractional Schrödinger equations have been investigated in the last years, see for instance [13,32].”
Ground states for fractional Schrödinger equations with critical growth (2014, background): “Recently, the existence of solutions for problem (2) involving subcritical growth with ε = 1 was considered, such as [5, 11, 14, 23, 24].”