19 citations · 25 across the 7 of their papers we have counts for
7 papers · 1 filter
Extinction profiles for the Sobolev critical fast diffusion equation in bounded domains. I. One bubble dynamics
Tianling Jin, Jingang Xiong
In this paper, we investigate the extinction behavior of nonnegative solutions to the Sobolev critical fast diffusion equation in bounded smooth domains with the Dirichlet zero bou…
On the sharp constants in the regional fractional Sobolev inequalities
Rupert L. Frank, Tianling Jin, Wei Wang
In this paper, we study the sharp constants in fractional Sobolev inequalities associated with the regional fractional Laplacian in domains.
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…
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…
Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
Henri Berestycki, Tianling Jin, Luis Silvestre
We study existence and uniqueness of travelling fronts, and asymptotic speed of propagation for a non local reaction diffusion equation with spatial and genetic trait structure.
The Nirenberg problem and its generalizations: A unified approach
Tianling Jin, YanYan Li, Jingang Xiong
Making use of integral representations, we develop a unified approach to establish blow up profiles, compactness and existence of positive solutions of the conformally invariant eq…