277 citations · 752 across the 50 of their papers we have counts for
5 papers · 1 filter
On the isoperimetric quotient over scalar-flat conformal classes
Tianling Jin, Jingang Xiong
Let be a smooth compact Riemannian manifold of dimension with smooth boundary . Suppose that admits a scalar-flat conformal metric. We prove that th…
On a conformally invariant integral equation involving Poisson kernel
Jingang Xiong
We study a prescribing functions problem of a conformally invariant integral equation involving Poisson kernel on the unit ball. This integral equation is not the dual of any stand…
Compactness of solutions to nonlocal elliptic equations
Miaomiao Niu, Zhipeng Peng, Jingang Xiong
We show that all nonnegative solutions of the critical semilinear elliptic equation involving the regional fractional Laplacian are locally universally bounded. This strongly contr…
Minimizers for the fractional Sobolev inequality on domains
Rupert L. Frank, Tianling Jin, Jingang Xiong
We consider a version of the fractional Sobolev inequality in domains and study whether the best constant in this inequality is attained. For the half-space and a large class of bo…
The critical semilinear elliptic equation with isolated boundary singularities
Jingang Xiong
We establish quantitative asymptotic behaviors for nonnegative solutions of the critical semilinear equation with isolated boundary singularities, where $…