Jianjun Zhang

activity

20122022

most citedGroundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent

58 citations · 151 across the 20 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.AP2017★ 58 cited

Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent

Daniele Cassani, Jean Van Schaftingen, Jianjun Zhang

For the Choquard equation, which is a nonlocal nonlinear Schrödinger type equation, $- Δ u + V_{μ, ν} u = (I_{α} * ∣ u ∣^{\frac{N + α}{N}}) ∣ u ∣^{\frac{α}{N} - 1} u$ , in $R^{N}$ where $N\g…

math.AP2017

Existence and concentration of positive solutions for nonlinear Kirchhoff type problems with a general critical nonlinearity

Jianjun Zhang, David G. Costa, João Marcos Do Ó

We are concerned with the following Kirchhoff type equation $$-\varepsilon^2 M \left(\varepsilon^{2-N} \int_{\mathbb{R}^N} | \nabla u|^2\, \mathrm{d} x\right) Δu+V(x)u = f(u),\ x \…