277 citations · 752 across the 50 of their papers we have counts for
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Boundary gradient estimates for parabolic and elliptic systems from linear laminates
Hongjie Dong, Jingang Xiong
We study boundary gradient estimates for second-order divergence type parabolic and elliptic systems in domains. The coefficients and data are assumed to be Hölder in the…
A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds
Tianling Jin, Jingang Xiong
In this paper, we examine the boundary term of the sharp Sobolev trace inequality $\|u\|_{L^{q}(\pa M)}^2\leq S \|\nabla_g u\|_{L^2(M)}^2 +A(M,g)\|u\|^2_{L^2(\pa M)}$ on Riem…
On a fractional Nirenberg problem, part II: existence of solutions
Tianling Jin, YanYan Li, Jingang Xiong
This paper is a continuation of our earlier work "[T. Jin, Y.Y. Li and J. Xiong, On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions, to appear…
Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
Luis Caffarelli, Tianling Jin, Yannick Sire +1
In this paper, we study the local behaviors of nonnegative local solutions of fractional order semi-linear equations with an isolated singularity, w…
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
Tianling Jin, Ali Maalaoui, Luca Martinazzi +1
We study conformal metrics on , i.e., metrics of the form , which have constant -curvature and finite volume. This is equivalent to studying the non-local…