Yan-Hong Chen

activity

20142025

most citedGround state solutions for non-autonomous fractional Choquard equations

50 citations · 52 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.AP2015★ 50 cited

Ground state solutions for non-autonomous fractional Choquard equations

Yan-Hong Chen, Chungen Liu

We consider the following nonlinear fractional Choquard equation, \begin{equation}\label{e:introduction} \begin{cases} (-Δ)^{s} u + u = (1 + a(x))(I_α\ast (|u|^{p}))|u|^{p - 2}u\qu…

math.AP2014★ 2 cited

Existence results for the fractional Nirenberg problem

Yan-Hong Chen, Chungen Liu, Youquan Zheng

We consider the fractional Nirenberg problem on the standard sphere $S^{n}$ with $n \geq 4$ . Using the theory of critical points at infinity, we establish an Euler-Hopf type…

math.AP2014

Peak Solutions for the fractional Nirenberg problem

Yan-Hong Chen, Youquan Zheng

In this paper, the fractional order curvature equation $(- Δ)^{γ} u = (1 + ε K (x)) u^{\frac{N + 2 γ}{N - 2 γ}}$ in $R^{N}$ is considered. Assuming $K (x)$ has two critical…