4 citations · 8 across the 14 of their papers we have counts for
14 papers
Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels
Xusheng Du, Tianling Jin, Hui Yang
In this paper, we study existence of solutions to a conformally invariant integral equation involving Poisson-type kernels. Such integral equation has a stronger non-local feature…
Super polyharmonic property and asymptotic behavior of solutions to the higher order Hardy-Hénon equation near isolated singularities
Xia Huang, Yuan Li, Hui Yang
In this paper, we are devoted to studying the positive solutions of the following higher order Hardy-Hénon equation $$ (-Δ)^{m}u=|x|^αu^{p} \quad\mbox{in}~ B_{1}\setminus\{0\}\subs…
Blow up limits of the fractional Laplacian and their applications to the fractional Nirenberg problem
Xusheng Du, Tianling Jin, Jingang Xiong +1
We show a convergence result of the fractional Laplacian for sequences of nonnegative functions without uniform boundedness near infinity. As an application, we construct a sequenc…
A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent
Xusheng Du, Hui Yang
We study positive solutions to the fractional semi-linear elliptic equation with an isolated singu…
Liouville-type theorems, radial symmetry and integral representation of solutions to Hardy-Hénon equations involving higher order fractional Laplacians
Hui Yang
We study nonnegative solutions to the following Hardy-Hénon type equations involving higher order fractional Laplacians $$ (-Δ)^σu = |x|^{-α}u^{p} ~~~~~~ \mbox{in} ~ \mathbb{R}^n \…
Local estimates for conformal -curvature equations
Tianling Jin, Hui Yang
We derive local estimates of positive solutions to the conformal -curvature equation near their singular set…