Faculty Profiles - JIN Tianling | The Hong Kong University of Science and Technology

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 3424
Personal Web

Google Scholar

ehoYUucAAAAJ

ORCID

0000-0002-6739-1101

Scopus ID

26635270400

Research Interest Publications Projects Teaching Assignment RPG Supervision Space used

Research Interest

Analysis
Partial differential equations
Differential geometry

Publications

All Years 28 2023 1 2022 1 2021 2 2020 1 2019 1 2018 5 2017 17

2023 1

Optimal Boundary Regularity for Fast Diffusion Equations in Bounded Domains

American Journal of Mathematics, v. 145, (1), February 2023, p. 151-219
Jin, Tianling; Xiong, Jingang
Article

2022 1

Singular extinction profiles of solutions to some fast diffusion equations

Journal of Functional Analysis, v. 283, (7), 1 October 2022, article number 109595
Jin, Tianling; Xiong, Jingang
Article

2021 2

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

On a Rayleigh-Faber-Krahn inequality for the regional fractional Laplacian

Annals of Applied Mathematics, v. 37, (3), August 2021, p. 363-393
Jin, Tianling; Kriventsov, Dennis; 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

Hölder 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

Hölder 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, 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

Article 1

Optimal Boundary Regularity for Fast Diffusion Equations in Bounded Domains

American Journal of Mathematics, v. 145, (1), February 2023, p. 151-219
Jin, Tianling; Xiong, Jingang

Article 1

Singular extinction profiles of solutions to some fast diffusion equations

Journal of Functional Analysis, v. 283, (7), 1 October 2022, article number 109595
Jin, Tianling; Xiong, Jingang

Article 2

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

On a Rayleigh-Faber-Krahn inequality for the regional fractional Laplacian

Annals of Applied Mathematics, v. 37, (3), August 2021, p. 363-393
Jin, Tianling; Kriventsov, Dennis; Xiong, Jingang

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

Article 1

Hölder 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 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

Article 3

Hölder 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

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

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, v. 35, (12), December 2015, p. 5977-5998
Jin, Tianling; Xiong, Jingang

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

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

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

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

2017 3

Hölder 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, 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

Teaching Assignment

2022-23 Spring 7 2022-23 Winter 0 2022-23 Fall 6 2021-22 Summer 0 2021-22 Spring 6 2021-22 Winter 0

MATH5281	Partial Differential Equations
MATH6900A	Mathematics Seminar
MATH6900B	Mathematics Seminar
MATH6900C	Mathematics Seminar
MATH6900D	Mathematics Seminar
MATH6914Q	Reading Course: Regularity for Elliptic Equations of Second Order
SCIE3500	IRE Research Project I

MATH4063	Functional Analysis
MATH6771	Professional Development Training in Mathematics
MATH6900A	Mathematics Seminar
MATH6900B	Mathematics Seminar
MATH6900C	Mathematics Seminar
MATH6900D	Mathematics Seminar

MATH6900A	Mathematics Seminar
MATH6900B	Mathematics Seminar
MATH6900C	Mathematics Seminar
MATH6900D	Mathematics Seminar
SCIE2500	Guided Study on Research II
UROP1100F	Undergraduate Research Opportunities Series 1

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2020 to December 2023 (As of 28 May 2023)

All Supervisions Current RPGs Graduated RPGs

Current RPGs

Doctor of Philosophy

ZHENG, Zhen
Mathematics
ZHANG, Fa (co-supervision)
Mathematics
YANG, Yahong (co-supervision)
Mathematics

Graduated RPGs

Doctor of Philosophy

DU, Xusheng
Mathematics( Completed in 2022 )

Projects

From January 2021 to December 2023

All Projects 6

No Projects.
Regularity and asymptotics for linearized and nonlinear fast diffusion equations

快速擴散方程及其線性化方程的解的正則性和漸進行為 Leading

RGC - General Research Fund
Project Team (HKUST)
JIN Tianling (Lead)
2022 -
Elliptic and parabolic equations

橢圓與拋物型方程 Leading

National Natural Science Foundation of China
Project Team (HKUST)
JIN Tianling (Lead)
2022 -
Asymptotic behavior of solutions to some fast diffusion equations

快速擴散方程的解的漸進行為 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

分數階Sobolev不等式的最優常數問題 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關研究 Leading

RGC - General Research Fund
Project Team (HKUST)
JIN Tianling (Lead)
2019 - 2022
The fractional Nirenberg problem and related topics

分數階Nirenberg問題以及相關研究 Leading

RGC - General Research Fund
Project Team (HKUST)
JIN Tianling (Lead)
2018 - 2021

Research Interest

Publications

2023 1

2022 1

2021 2

2020 1

2019 1

2018 5

2017 3

2016 3

2015 4

2014 4

2013 1

2011 1

2009 1

Article 1

Article 1

Article 2

Article 1

Article 1

Article 5

Article 3

Article 3

Article 4

Article 4

Article 1

Article 1

Article 1

2017 3

2016 3

2015 4

2014 4

2013 1

2011 1

2009 1

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2020 to December 2023 (As of 28 May 2023)

Current RPGs

Graduated RPGs

Projects

From January 2021 to December 2023

Your browser is out of date!