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

collaborators

6 papers

math.CA2025

Weighted inequalities for variation operators associated with fractional Schrödinger semigroups

Yanhan Chen

Let ${e^{- t L^{α}}}_{t > 0}$ be the fractional Schrödinger semigroup associated with $L = - Δ + V$ , where $V$ is a non-negatvie potential belonging to the reverse Hölder class. In this pap…

math.CA2025

Characterization of infinitesimal boundedness of Schrödinger operator

Yanhan Chen

In this paper, we characterize the weighted infinitesimal boundedness: for $0 < α < n$ and $1 < p < \infty$ , $$\|Vϕ\|_{L^{p}(w)}^{p}\leqε\|(-Δ)^{\fracα{2}}ϕ\|_{L^{p}(w)}^{p}+C(ε)\|ϕ\|_{L^{…

math.CA2024

Weighted Weak-type Inequalities For Fractionally Sparsely Dominated Operators

Yanhan Chen

In this paper, we establish quantitative weak type estimates for operators that are dominated by (fractional) sparse operators in bilinear sense. Specifically, we derive bounds for…

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…