Tianling JIN
金天灵
PhD in Mathematics
Rutgers, The State University of New Jersey, 2012

Associate Professor
Department of Mathematics

PG Programs Coordinator (Mathematics)



(852) 2358 7417
tianlingjin@ust.hk
Room 3470
Personal Web

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Google Scholar
ehoYUucAAAAJ

ORCID
0000-0002-6739-1101

Scopus ID
26635270400




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Analysis
Partial differential equations
Differential geometry



Publications

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All Years 25 2022 0 2021 1 2020 1 2019 1 2018 5 2017 3 2016 14

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2021 1

Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v. 38, (4), July-August 2021, p. 1167-1216
Jin, Tianling; Xiong, Jingang Article

2020 1

An existence theorem on the isoperimetric ratio over scalar-flat conformal classes
Journal of Differential Equations, v. 269, (5), August 2020, p. 4116-4136
Chen, Xuezhang; Jin, Tianling; Ruan, Yuping Article

2019 1

H?lder Gradient Estimates for a Class of Singular or Degenerate Parabolic Equations
Advances in Nonlinear Analysis, v. 8, (1), March 2019, p. 845-867
Imbert, Cyril; Jin, Tianling; Silvestre, Luis Article

2018 5

Dini and Schauder Estimates for Nonlocal Fully Nonlinear Parabolic Equations With Drifts
Analysis and PDE, v. 11, (6), 2018, p. 1487-1534
Dong, Hongjie; Jin, Tianling; Zhang, Hong Article
Minimizers for the Fractional Sobolev Inequality on Domains
Calculus of Variations and Partial Differential Equations, v. 57, (2), April 2018, article number 43
Frank, Rupert L.; Jin, Tianling; Xiong, Jingang Article
On the isoperimetric quotient over scalar-flat conformal classes
Communications in Partial Differential Equations, v. 43, (12), December 2018, p. 1737-1760
Jin, Tianling; Xiong, Jingang Article
Potential singularity for a family of models of the axisymmetric incompressible flow
Journal of Nonlinear Science, v. 28, (6), December 2018, p. 2217-2247
Hou, Thomas Y.; Jin, Tianling; Liu, Pengfei Article
Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation
Annales de la Faculté des Sciences de Toulouse. Mathématiques Sér. 6, v. 27, (4), 2018, p. 667-677
Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman Article

2017 3

H?lder Gradient Estimates for Parabolic Homogeneous p-Laplacian Equations
Journal des Mathematiques Pures et Appliquees, v. 108, (1), July 2017, p. 63-87
Jin, Tianling; Silvestre, Luis Article
On Local Behavior of Singular Positive Solutions to Nonlocal Elliptic Equations
Calculus of Variations and Partial Differential Equations, v. 56, (1), February 2017, article number 9
Jin, Tianling; De Queiroz, Olivaine Santana; Sire, Yannick; Xiong, Jingang Article
The Nirenberg Problem and its Generalizations: a Unified Approach
Mathematische Annalen, v. 369, (1-2), October 2017, p. 109-151
Jin, Tianling; Li, Yanyan; Xiong, Jingang Article

2016 3

Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
Nonlinearity, v. 29, (4), March 2016, p. 1434-1466
Berestycki, Henri; Jin, Tianling; Silvestre, Luis E. Article
Schauder estimates for nonlocal fully nonlinear equations
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 33, (5), September 2016, p. 1375-1407
Jin, Tianling; Xiong, Jingang Article
Solutions of Some Monge–Ampère Equations with Isolated and Line Singularities
Advances in Mathematics, v. 289, February 2016, p. 114-141
Jin, Tianling; Xiong, Jingang Article

2015 4

A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds
Transactions of the American Mathematical Society, v. 367, (9), 2015, p. 6751-6770
Jin, Tianling; Xiong, Jingang Article
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
Calculus of Variations and Partial Differential Equations, v. 52, (3-4), March 2015, p. 469-488
Jin, Tianling; Maalaoui, Ali; Martinazzi, Luca; Xiong, Jingang Article
On a fractional Nirenberg problem, part II: Existence of solutions
International Mathematics Research Notices, v. 2015, (6), 2015, p. 1555-1589
Jin, Tianling; Li, YanYan; Xiong, Jingang Article
Schauder estimates for solutions of linear parabolic integro-differential equations
Discrete and Continuous Dynamical Systems- Series A, v. 35, (12), December 2015, p. 5977-5998
Jin, Tianling; Xiong, Jingang Article

2014 4

A Fractional Yamabe Flow and Some Applications
Journal für die Reine und Angewandte Mathematik, v. 2014, (696), November 2014, p. 187-223
Jin, Tianling; Xiong, Jingang Article
A Liouville Theorem for Solutions of Degenerate Monge-Ampère Equations
Communications in Partial Differential Equations, v. 39, (2), February 2014, p. 306-320
Jin, Tianling; Xiong, Jingang Article
Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities
Archive for Rational Mechanics and Analysis, v. 213, (1), July 2014, p. 245-268
Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang Article
On a fractional Nirenberg problem, part I: Blow up analysis and compactness of solutions
Journal of the European Mathematical Society, v. 16, (6), 2014, p. 1111-1171
Jin, Tianling; Li, YanYan; Xiong, Jingang Article

2013 1

Sharp constants in weighted trace inequalities on Riemannian manifolds
Calculus of Variations and Partial Differential Equations, v. 48, (3-4), November 2013, p. 555-585
Jin, Tianling; Xiong, Jingang Article

2011 1

Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v, 28, (6), November-December 2011, p. 965-981
Jin, Tianling Article

2009 1

Pathological solutions to elliptic problems in divergence form with continuous coefficients
Comptes Rendus Mathematique, v. 347, (13-14), July 2009, p. 773-778
Jin, Tianling; Maz'ya, Vladimir; Van schaftingen, Jean Article


Expand All Collapse All


Article 1

Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v. 38, (4), July-August 2021, p. 1167-1216
Jin, Tianling; Xiong, Jingang


Expand All Collapse All


Article 1

An existence theorem on the isoperimetric ratio over scalar-flat conformal classes
Journal of Differential Equations, v. 269, (5), August 2020, p. 4116-4136
Chen, Xuezhang; Jin, Tianling; Ruan, Yuping


Expand All Collapse All


Article 1

H?lder Gradient Estimates for a Class of Singular or Degenerate Parabolic Equations
Advances in Nonlinear Analysis, v. 8, (1), March 2019, p. 845-867
Imbert, Cyril; Jin, Tianling; Silvestre, Luis


Expand All Collapse All


Article 5

Dini and Schauder Estimates for Nonlocal Fully Nonlinear Parabolic Equations With Drifts
Analysis and PDE, v. 11, (6), 2018, p. 1487-1534
Dong, Hongjie; Jin, Tianling; Zhang, Hong
Minimizers for the Fractional Sobolev Inequality on Domains
Calculus of Variations and Partial Differential Equations, v. 57, (2), April 2018, article number 43
Frank, Rupert L.; Jin, Tianling; Xiong, Jingang
On the isoperimetric quotient over scalar-flat conformal classes
Communications in Partial Differential Equations, v. 43, (12), December 2018, p. 1737-1760
Jin, Tianling; Xiong, Jingang
Potential singularity for a family of models of the axisymmetric incompressible flow
Journal of Nonlinear Science, v. 28, (6), December 2018, p. 2217-2247
Hou, Thomas Y.; Jin, Tianling; Liu, Pengfei
Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation
Annales de la Faculté des Sciences de Toulouse. Mathématiques Sér. 6, v. 27, (4), 2018, p. 667-677
Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman


Expand All Collapse All


Article 3

H?lder Gradient Estimates for Parabolic Homogeneous p-Laplacian Equations
Journal des Mathematiques Pures et Appliquees, v. 108, (1), July 2017, p. 63-87
Jin, Tianling; Silvestre, Luis
On Local Behavior of Singular Positive Solutions to Nonlocal Elliptic Equations
Calculus of Variations and Partial Differential Equations, v. 56, (1), February 2017, article number 9
Jin, Tianling; De Queiroz, Olivaine Santana; Sire, Yannick; Xiong, Jingang
The Nirenberg Problem and its Generalizations: a Unified Approach
Mathematische Annalen, v. 369, (1-2), October 2017, p. 109-151
Jin, Tianling; Li, Yanyan; Xiong, Jingang


Expand All Collapse All


Article 3

Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
Nonlinearity, v. 29, (4), March 2016, p. 1434-1466
Berestycki, Henri; Jin, Tianling; Silvestre, Luis E.
Schauder estimates for nonlocal fully nonlinear equations
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 33, (5), September 2016, p. 1375-1407
Jin, Tianling; Xiong, Jingang
Solutions of Some Monge–Ampère Equations with Isolated and Line Singularities
Advances in Mathematics, v. 289, February 2016, p. 114-141
Jin, Tianling; Xiong, Jingang


Expand All Collapse All


Article 4

A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds
Transactions of the American Mathematical Society, v. 367, (9), 2015, p. 6751-6770
Jin, Tianling; Xiong, Jingang
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
Calculus of Variations and Partial Differential Equations, v. 52, (3-4), March 2015, p. 469-488
Jin, Tianling; Maalaoui, Ali; Martinazzi, Luca; Xiong, Jingang
On a fractional Nirenberg problem, part II: Existence of solutions
International Mathematics Research Notices, v. 2015, (6), 2015, p. 1555-1589
Jin, Tianling; Li, YanYan; Xiong, Jingang
Schauder estimates for solutions of linear parabolic integro-differential equations
Discrete and Continuous Dynamical Systems- Series A, v. 35, (12), December 2015, p. 5977-5998
Jin, Tianling; Xiong, Jingang


Expand All Collapse All


Article 4

A Fractional Yamabe Flow and Some Applications
Journal für die Reine und Angewandte Mathematik, v. 2014, (696), November 2014, p. 187-223
Jin, Tianling; Xiong, Jingang
A Liouville Theorem for Solutions of Degenerate Monge-Ampère Equations
Communications in Partial Differential Equations, v. 39, (2), February 2014, p. 306-320
Jin, Tianling; Xiong, Jingang
Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities
Archive for Rational Mechanics and Analysis, v. 213, (1), July 2014, p. 245-268
Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang
On a fractional Nirenberg problem, part I: Blow up analysis and compactness of solutions
Journal of the European Mathematical Society, v. 16, (6), 2014, p. 1111-1171
Jin, Tianling; Li, YanYan; Xiong, Jingang


Expand All Collapse All


Article 1

Sharp constants in weighted trace inequalities on Riemannian manifolds
Calculus of Variations and Partial Differential Equations, v. 48, (3-4), November 2013, p. 555-585
Jin, Tianling; Xiong, Jingang


Expand All Collapse All


Article 1

Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v, 28, (6), November-December 2011, p. 965-981
Jin, Tianling


Expand All Collapse All


Article 1

Pathological solutions to elliptic problems in divergence form with continuous coefficients
Comptes Rendus Mathematique, v. 347, (13-14), July 2009, p. 773-778
Jin, Tianling; Maz'ya, Vladimir; Van schaftingen, Jean


Expand All Collapse All


2016 3

Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
Nonlinearity, v. 29, (4), March 2016, p. 1434-1466
Berestycki, Henri; Jin, Tianling; Silvestre, Luis E. Article
Schauder estimates for nonlocal fully nonlinear equations
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 33, (5), September 2016, p. 1375-1407
Jin, Tianling; Xiong, Jingang Article
Solutions of Some Monge–Ampère Equations with Isolated and Line Singularities
Advances in Mathematics, v. 289, February 2016, p. 114-141
Jin, Tianling; Xiong, Jingang Article

2015 4

A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds
Transactions of the American Mathematical Society, v. 367, (9), 2015, p. 6751-6770
Jin, Tianling; Xiong, Jingang Article
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
Calculus of Variations and Partial Differential Equations, v. 52, (3-4), March 2015, p. 469-488
Jin, Tianling; Maalaoui, Ali; Martinazzi, Luca; Xiong, Jingang Article
On a fractional Nirenberg problem, part II: Existence of solutions
International Mathematics Research Notices, v. 2015, (6), 2015, p. 1555-1589
Jin, Tianling; Li, YanYan; Xiong, Jingang Article
Schauder estimates for solutions of linear parabolic integro-differential equations
Discrete and Continuous Dynamical Systems- Series A, v. 35, (12), December 2015, p. 5977-5998
Jin, Tianling; Xiong, Jingang Article

2014 4

A Fractional Yamabe Flow and Some Applications
Journal für die Reine und Angewandte Mathematik, v. 2014, (696), November 2014, p. 187-223
Jin, Tianling; Xiong, Jingang Article
A Liouville Theorem for Solutions of Degenerate Monge-Ampère Equations
Communications in Partial Differential Equations, v. 39, (2), February 2014, p. 306-320
Jin, Tianling; Xiong, Jingang Article
Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities
Archive for Rational Mechanics and Analysis, v. 213, (1), July 2014, p. 245-268
Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang Article
On a fractional Nirenberg problem, part I: Blow up analysis and compactness of solutions
Journal of the European Mathematical Society, v. 16, (6), 2014, p. 1111-1171
Jin, Tianling; Li, YanYan; Xiong, Jingang Article

2013 1

Sharp constants in weighted trace inequalities on Riemannian manifolds
Calculus of Variations and Partial Differential Equations, v. 48, (3-4), November 2013, p. 555-585
Jin, Tianling; Xiong, Jingang Article

2011 1

Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, v, 28, (6), November-December 2011, p. 965-981
Jin, Tianling Article

2009 1

Pathological solutions to elliptic problems in divergence form with continuous coefficients
Comptes Rendus Mathematique, v. 347, (13-14), July 2009, p. 773-778
Jin, Tianling; Maz'ya, Vladimir; Van schaftingen, Jean Article


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 5 2020-21 Summer 1 2020-21 Spring 6 2020-21 Winter 0 2020-21 Fall 3

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MATH1013 Calculus IB
MATH6771 Professional Development Training in Mathematics
MATH6900A Mathematics Seminar
MATH6900B Mathematics Seminar
MATH6900C Mathematics Seminar


UROP1000 Undergraduate Research Opportunities


MATH1014 Calculus II
MATH4052 Partial Differential Equations
MATH6900A Mathematics Seminar
MATH6900B Mathematics Seminar
MATH6900C Mathematics Seminar
MATH6900D Mathematics Seminar


MATH2033 Mathematical Analysis
MATH6900A Mathematics Seminar
MATH6900C Mathematics Seminar


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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Current RPGs

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Doctor of Philosophy ZHANG, Fa (co-supervision)
Mathematics( 2021 - )

YANG, Yahong (co-supervision)
Mathematics( 2019 - )

DU, Xusheng
Mathematics( 2018 - )









ProjectsFrom January 2020 to December 2022

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All Projects 6

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No Projects.
Elliptic and parabolic equations


椭圆与抛物型方程 Leading


National Natural Science Foundation of China


Project Team (HKUST)
JIN Tianling (Lead)


2022 -




Asymptotic behavior of solutions to some fast diffusion equations


快速扩散方程的解的渐进行为 Leading


RGC - General Research Fund


Project Team (HKUST)
JIN Tianling (Lead)


2020 -




On the best constant of fractional Sobolev inequalities in domains and related shape optimization problems


分数阶Sobolev不等式的最优常数问题 Leading


RGC - General Research Fund


Project Team (HKUST)
JIN Tianling (Lead)


2020 -




On the isoperimetric quotient over scalar-flat conformal classes and related problems


零曲率共形流形上的等周比的相关研究 Leading


RGC - General Research Fund


Project Team (HKUST)
JIN Tianling (Lead)


2019 -




The fractional Nirenberg problem and related topics


分数阶Nirenberg问题以及相关研究 Leading


RGC - General Research Fund


Project Team (HKUST)
JIN Tianling (Lead)


2018 - 2021




Regularity theory for integro-differential equations


积分微分方程的解的正则性原理 Leading


RGC - Early Career Scheme


Project Team (HKUST)
JIN Tianling (Lead)


2016 - 2020