18 citations · 19 across the 4 of their papers we have counts for
4 papers
Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well
Lun Guo, Tingxi Hu
In this paper, we are concerned with the existence and asymptotic behavior of least energy solutions for following nonlinear Choquard equation driven by fractional Laplacian $$(-Δ)…
Existence of optimizers of the Stein-Weiss inequalities on Carnot groups
Tingxi Hu, Pengcheng Niu
This paper proves existence of optimizers of the Stein-Weiss inequalities on Carnot groups under some conditions. The adjustment of Lions' concentration compactness principles to C…
Schauder estimates for solutions of sub-Laplace equations with Dini terms
Tingxi Hu, Pengcheng Niu
In this paper we establish Schauder estimates for the sublalpace equation \[Σ_{j = 1}^mX_j^2u = f,\] where is a system of smooth vector field which gen…
Hardy-Littlewood-Sobolev Type Inequality and Stein-Wiess Type Inequality on Carnot Groups
Tingxi Hu, Pengcheng Niu
A Stein-Weiss type inequality on Carnot groups is established by proving the boundedness of an integral operator and the Hardy-Littlewood-Sobolev type inequality on Carnot groups i…