13 citations · 16 across the 6 of their papers we have counts for
7 papers
On a Rayleigh-Faber-Krahn inequality for the regional fractional Laplacian
Tianling Jin, Dennis Kriventsov, Jingang Xiong
We study a Rayleigh-Faber-Krahn inequality for regional fractional Laplacian operators. In particular, we show that there exists a compactly supported nonnegative Sobolev function…
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…
An existence theorem on the isoperimetric ratio over scalar-flat conformal classes
Xuezhang Chen, Tianling Jin, Yuping Ruan
Let be a smooth compact Riemannian manifold of dimension with smooth boundary , admitting a scalar-flat conformal metric. We prove that the supremum of the…
Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
Tianling Jin, Jingang Xiong
We prove sharp blow up rates of solutions of higher order conformally invariant equations in a bounded domain with an isolated singularity, and show the asymptotic radial symmetry…
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…
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…