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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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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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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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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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Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, II

Journal of differential geometry, 2024-02, Vol.126 (2)

2024

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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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On number and evenness of solutions of the $SU(3)$ Toda system on flat tori with non-critical parameters

Journal of differential geometry, 2023-09, Vol.125 (1)

2023

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Degree counting formula for non-symmetric Toda systems of rank two

Journal of functional analysis, 2022-11, Vol.283 (10), p.109642, Article 109642

2022

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On the mean field type bubbling solutions for Chern–Simons–Higgs equation

Advances in mathematics (New York. 1965), 2018-11, Vol.338, p.1141-1188

2018

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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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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

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

Hamiltonian system for the elliptic form of Painlevé VI equation

Topological degree for a mean field equation on Riemann surfaces

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

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, II

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

On number and evenness of solutions of the $SU(3)$ Toda system on flat tori with non-critical parameters

Degree counting formula for non-symmetric Toda systems of rank two

On the mean field type bubbling solutions for Chern–Simons–Higgs equation

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

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