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Associate Professor / PG Programs Coordinator
Research Interests
Analysis, Partial differential equations, Differential geometryTeaching
 MATH5281 Partial Differential Equations
 MATH6900A Mathematics Seminar
 MATH6900B Mathematics Seminar
 MATH6900C Mathematics Seminar
 MATH6900D Mathematics Seminar
Awards & Honors

Professor Tianling JIN was awarded the 2023 Hong Kong Mathematical Society Young Scholar Award
(2023)

National Excellent Young Scientists Fund 2021
(2021)
Selected Publications
Article

Existence of Solutions to a Conformally Invariant Integral Equation Involving PoissonType Kernels
 Author(s): Du, Xusheng; Jin, Tianling; Yang, Hui
 Source: Journal of Geometric Analysis, v. 33, (9), June 2023, article number 286
 Year: 2023

Optimal Boundary Regularity for Fast Diffusion Equations in Bounded Domains
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: American Journal of Mathematics, v. 145, (1), February 2023, article number 878650, p. 151219
 Year: 2023

Local estimates for conformal Qcurvature equations
 Author(s): Jin, Tianling; Yang, Hui
 Source: Journal of Functional Analysis, v. 285, (2), July 2023, article number 109940
 Year: 2023

Blow up limits of the fractional laplacian and their applications to the fractional nirenberg problem
 Author(s): Du, Xusheng; Jin, Tianling; Xiong, Jingang; Yang, Hui
 Source: Proceedings of the American Mathematical Society, v. 151, (11), November 2023, p. 46934701
 Year: 2023

Bubbling and extinction for some fast diffusion equations in bounded domains
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Transactions of the American Mathematical Society Series B, v. 10, September 2023, p. 12871332
 Year: 2023

Singular extinction profiles of solutions to some fast diffusion equations
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Journal of Functional Analysis, v. 283, (7), 1 October 2022, article number 109595
 Year: 2022

On a RayleighFaberKrahn inequality for the regional fractional Laplacian
 Author(s): Jin, Tianling; Kriventsov, Dennis; Xiong, Jingang
 Source: Annals of Applied Mathematics, v. 37, (3), August 2021, p. 363393
 Year: 2021

Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v. 38, (4), JulyAugust 2021, p. 11671216
 Year: 2021

An existence theorem on the isoperimetric ratio over scalarflat conformal classes
 Author(s): Chen, Xuezhang; Jin, Tianling; Ruan, Yuping
 Source: Journal of Differential Equations, v. 269, (5), August 2020, p. 41164136
 Year: 2020

Hölder Gradient Estimates for a Class of Singular or Degenerate Parabolic Equations
 Author(s): Imbert, Cyril; Jin, Tianling; Silvestre, Luis
 Source: Advances in Nonlinear Analysis, v. 8, (1), March 2019, p. 845867
 Year: 2019

Potential singularity for a family of models of the axisymmetric incompressible flow
 Author(s): Hou, Thomas Y.; Jin, Tianling; Liu, Pengfei
 Source: Journal of Nonlinear Science, v. 28, (6), December 2018, p. 22172247
 Year: 2018

Schauder estimates for an integrodifferential equation with applications to a nonlocal Burgers equation
 Author(s): Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman
 Source: Annales de la Faculté des Sciences de Toulouse. Mathématiques Sér. 6, v. 27, (4), 2018, p. 667677
 Year: 2018

Minimizers for the Fractional Sobolev Inequality on Domains
 Author(s): Frank, Rupert L.; Jin, Tianling; Xiong, Jingang
 Source: Calculus of Variations and Partial Differential Equations, v. 57, (2), April 2018, article number 43
 Year: 2018

Dini and Schauder Estimates for Nonlocal Fully Nonlinear Parabolic Equations With Drifts
 Author(s): Dong, Hongjie; Jin, Tianling; Zhang, Hong
 Source: Analysis and PDE, v. 11, (6), 2018, p. 14871534
 Year: 2018

On the isoperimetric quotient over scalarflat conformal classes
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Communications in Partial Differential Equations, v. 43, (12), December 2018, p. 17371760
 Year: 2018

The Nirenberg Problem and its Generalizations: a Unified Approach
 Author(s): Jin, Tianling; Li, Yanyan; Xiong, Jingang
 Source: Mathematische Annalen, v. 369, (12), October 2017, p. 109151
 Year: 2017

Hölder Gradient Estimates for Parabolic Homogeneous pLaplacian Equations
 Author(s): Jin, Tianling; Silvestre, Luis
 Source: Journal des Mathematiques Pures et Appliquees, v. 108, (1), July 2017, p. 6387
 Year: 2017

On Local Behavior of Singular Positive Solutions to Nonlocal Elliptic Equations
 Author(s): Jin, Tianling; De Queiroz, Olivaine Santana; Sire, Yannick; Xiong, Jingang
 Source: Calculus of Variations and Partial Differential Equations, v. 56, (1), February 2017, article number 9
 Year: 2017

Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
 Author(s): Berestycki, Henri; Jin, Tianling; Silvestre, Luis E.
 Source: Nonlinearity, v. 29, (4), March 2016, p. 14341466
 Year: 2016

Schauder estimates for nonlocal fully nonlinear equations
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 33, (5), September 2016, p. 13751407
 Year: 2016

Solutions of Some Monge–Ampère Equations with Isolated and Line Singularities
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Advances in Mathematics, v. 289, February 2016, p. 114141
 Year: 2016

On a fractional Nirenberg problem, part II: Existence of solutions
 Author(s): Jin, Tianling; Li, YanYan; Xiong, Jingang
 Source: International Mathematics Research Notices, v. 2015, (6), 2015, p. 15551589
 Year: 2015

Schauder estimates for solutions of linear parabolic integrodifferential equations
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Discrete and Continuous Dynamical Systems, v. 35, (12), December 2015, p. 59775998
 Year: 2015

A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Transactions of the American Mathematical Society, v. 367, (9), 2015, p. 67516770
 Year: 2015

Existence and asymptotics for solutions of a nonlocal Qcurvature equation in dimension three
 Author(s): Jin, Tianling; Maalaoui, Ali; Martinazzi, Luca; Xiong, Jingang
 Source: Calculus of Variations and Partial Differential Equations, v. 52, (34), March 2015, p. 469488
 Year: 2015

A Liouville Theorem for Solutions of Degenerate MongeAmpère Equations
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Communications in Partial Differential Equations, v. 39, (2), February 2014, p. 306320
 Year: 2014

A Fractional Yamabe Flow and Some Applications
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Journal für die Reine und Angewandte Mathematik, v. 2014, (696), November 2014, p. 187223
 Year: 2014

On a fractional Nirenberg problem, part I: Blow up analysis and compactness of solutions
 Author(s): Jin, Tianling; Li, YanYan; Xiong, Jingang
 Source: Journal of the European Mathematical Society, v. 16, (6), 2014, p. 11111171
 Year: 2014

Local Analysis of Solutions of Fractional SemiLinear Elliptic Equations with Isolated Singularities
 Author(s): Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang
 Source: Archive for Rational Mechanics and Analysis, v. 213, (1), July 2014, p. 245268
 Year: 2014

Sharp constants in weighted trace inequalities on Riemannian manifolds
 Author(s): Jin, Tianling; Xiong, Jingang
 Source: Calculus of Variations and Partial Differential Equations, v. 48, (34), November 2013, p. 555585
 Year: 2013

Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
 Author(s): Jin, Tianling
 Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v, 28, (6), NovemberDecember 2011, p. 965981
 Year: 2011

Pathological solutions to elliptic problems in divergence form with continuous coefficients
 Author(s): Jin, Tianling; Maz'ya, Vladimir; Van schaftingen, Jean
 Source: Comptes Rendus Mathematique, v. 347, (1314), July 2009, p. 773778
 Year: 2009