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Mean Field Equation of Liouville Type with Singular Data: Topological Degree

Communications on pure and applied mathematics, 2015-06, Vol.68 (6), p.887-947

2015

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Isomonodromy Aspects of the tt Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics

Communications in mathematical physics, 2020-03, Vol.374 (2), p.923-973

2020

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Spectrum of the Lamé Operator and Application, II: When an Endpoint is a Cusp

Communications in mathematical physics, 2020-08, Vol.378 (1), p.335-368

2020

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Elliptic KdV potentials and conical metrics of positive constant curvature, I

Mathematische annalen, 2024-01, Vol.388 (3), p.2241-2274

2024

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On Algebro-Geometric Simply-Periodic Solutions of the KdV Hierarchy

Communications in mathematical physics, 2020-02, Vol.374 (1), p.111-144

2020

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Sharp Nonexistence Results for Curvature Equations with Four Singular Sources on Rectangular Tori

American journal of mathematics, 2020-08, Vol.142 (4), p.1269-1300

2020

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Even solutions of some mean field equations at non-critical parameters on a flat torus

Proceedings of the American Mathematical Society, 2022-04, Vol.150 (4), p.1577-1590

2022

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Toda systems and hypergeometric equations

Transactions of the American Mathematical Society, 2018-11, Vol.370 (11), p.7605-7626

2018

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On algebraic multiplicity of (anti)periodic eigenvalues of Hill's equations

Proceedings of the American Mathematical Society, 2018-07, Vol.146 (7), p.3039-3047

2018

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Bubbling Solutions for the SU(3) Chern-Simons Model on a Torus

Communications on pure and applied mathematics, 2013-07, Vol.66 (7), p.991-1027

2013

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Isomonodromy Aspects of the tt Equations of Cecotti and Vafa II: Riemann–Hilbert Problem

Communications in mathematical physics, 2015-05, Vol.336 (1), p.337-380

2015

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Nonlinear PDE aspects of the tt equations of Cecotti and Vafa

Journal für die reine und angewandte Mathematik, 2014-04, Vol.2014 (689), p.1-32

2014

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Real-root property of the spectral polynomial of the Treibich–Verdier potential and related problems

Journal of Differential Equations, 2018-04, Vol.264 (8), p.5408-5431

2018

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Hamiltonian system for the elliptic form of Painlevé VI equation

Journal de mathématiques pures et appliquées, 2016-09, Vol.106 (3), p.546-581

2016

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A topological degree counting for some Liouville systems of mean field type

Communications on pure and applied mathematics, 2011-04, Vol.64 (4), p.556-590

2011

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Topological degree for a mean field equation on Riemann surfaces

Communications on pure and applied mathematics, 2003-12, Vol.56 (12), p.1667-1727

2003

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Existence and non-existence of solutions of the mean field equations on flat tori

Proceedings of the American Mathematical Society, 2017-09, Vol.145 (9), p.3989-3996

2017

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Simple zero property of some holomorphic functions on the moduli space of tori

Science China. Mathematics, 2019-11, Vol.62 (11), p.2089-2102

2019

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Non-Abelian Multiple Vortices in Supersymmetric Field Theory

Communications in mathematical physics, 2011-06, Vol.304 (2), p.433-457

2011

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Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces

Communications on pure and applied mathematics, 2002-06, Vol.55 (6), p.728-771

2002

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Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system

Journal of mathematical physics, 2015-04, Vol.56 (4)

2015

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Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2016-02, p.859-897

2016

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On reducible monodromy representations of some generalized Lamé equation

Mathematische Zeitschrift, 2018-04, Vol.288 (3-4), p.679-688

2018

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Segregated nodal domains of two-dimensional multispecies Bose–Einstein condensates

Physica. D, 2004-09, Vol.196 (3), p.341-361

2004

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An expository survey on the recent development of mean field equations

Discrete and continuous dynamical systems. Series A, 2007, Vol.19 (2), p.387-410

Lin, Chang-Shou

2007

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Mean Field Equation of Liouville Type with Singular Data: Topological Degree

Isomonodromy Aspects of the tt Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics

Spectrum of the Lamé Operator and Application, II: When an Endpoint is a Cusp

Elliptic KdV potentials and conical metrics of positive constant curvature, I

On Algebro-Geometric Simply-Periodic Solutions of the KdV Hierarchy

Sharp Nonexistence Results for Curvature Equations with Four Singular Sources on Rectangular Tori

Even solutions of some mean field equations at non-critical parameters on a flat torus

Toda systems and hypergeometric equations

On algebraic multiplicity of (anti)periodic eigenvalues of Hill's equations

Bubbling Solutions for the SU(3) Chern-Simons Model on a Torus

Isomonodromy Aspects of the tt Equations of Cecotti and Vafa II: Riemann–Hilbert Problem

Nonlinear PDE aspects of the tt equations of Cecotti and Vafa

Real-root property of the spectral polynomial of the Treibich–Verdier potential and related problems

Hamiltonian system for the elliptic form of Painlevé VI equation

A topological degree counting for some Liouville systems of mean field type

Topological degree for a mean field equation on Riemann surfaces

Existence and non-existence of solutions of the mean field equations on flat tori

Simple zero property of some holomorphic functions on the moduli space of tori

Non-Abelian Multiple Vortices in Supersymmetric Field Theory

Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces

Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system

Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system

On reducible monodromy representations of some generalized Lamé equation

Segregated nodal domains of two-dimensional multispecies Bose–Einstein condensates

An expository survey on the recent development of mean field equations

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