Jiankang Xia

activity

20162026

most citedGroundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent

64 citations · 152 across the 7 of their papers we have counts for

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Showing 2016 · math.APShow all

2 papers · 2 filters

math.AP2016★ 27 cited

Standing waves with a critical frequency for nonlinear Choquard equations

Jean Van Schaftingen, Jiankang Xia

In this paper, we study the nonlocal Choquard equation $- ε^{2} Δ u_{ε} + V u_{ε} = (I_{α} * ∣ u_{ε} ∣^{p}) ∣ u_{ε} ∣^{p - 2} u_{ε}$ where $N\ge…

math.AP2016★ 58 cited

Choquard equations under confining external potentials

Jean Van Schaftingen, Jiankang Xia

We consider the nonlinear Choquard equation $- Δ u + V u = (I_{α} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u in R^{N}$ where $N \geq 1$ , $I_{α}$ is the Riesz potentia…