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Associate Professor / PG Programs Coordinator
Research Interests
Analysis, Partial differential equations, Differential geometryAwards & 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

Optimal regularity and fine asymptotics for the porous medium equation in bounded domains
 Author(s): Jin, Tianling; RosOton, Xavier; Xiong, Jingang
 Source: Journal fur die Reine und Angewandte Mathematik, v. 2024, (809), April 2024, p. 269300
 Year: 2024

Stability of the separable solutions for a nonlinear boundary diffusion problem
 Author(s): Jin, Tianling; Xiong, Jingang; Yang, Xuzhou
 Source: Journal de Mathématiques Pures et Appliquées, v. 183, March 2024, p. 143
 Year: 2024

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