Mean field equation and relativistic Abelian Chern-Simons model on finite graphs
HY Huang, J Wang, W Yang - Journal of Functional Analysis, 2021 - Elsevier
In this paper, we study the Mean field equation and the relativistic Abelian Chern-Simons
equations (involving two Higgs particles and any two gauge fields) on the finite connected …
equations (involving two Higgs particles and any two gauge fields) on the finite connected …
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates Page 63
ANALYSIS AND PDE Vol. 11, No. 4, 2018 dx. doi. org/10.2140/apde. 2018.11. 873 msp ON …
ANALYSIS AND PDE Vol. 11, No. 4, 2018 dx. doi. org/10.2140/apde. 2018.11. 873 msp ON …
Total masses of solutions to general Toda systems with singular sources
In this article we obtain total masses of solutions to the Toda system associated to a general
simple Lie algebra with singular sources at the origin. The determination of such total …
simple Lie algebra with singular sources at the origin. The determination of such total …
Estimates of bubbling solutions of Toda systems at critical parameters-Part 2
J Wei, L Wu, L Zhang - arXiv preprint arXiv:2206.08114, 2022 - arxiv.org
In this article we study bubbling solutions of regular $ SU (3) $ Toda systems defined on a
Riemann surface. There are two major difficulties corresponding to the profile of bubbling …
Riemann surface. There are two major difficulties corresponding to the profile of bubbling …
Sharp Estimate for the Critical Parameters of SU(3) Toda System with Arbitrary Singularities, I
CS Lin, W Yang - Vietnam Journal of Mathematics, 2021 - Springer
To obtain the a priori estimate of Toda system, the first step is to determine all the possible
local masses of blow up solutions. In this paper we study this problem and improve the main …
local masses of blow up solutions. In this paper we study this problem and improve the main …
On the boundary behavior for the blow-up solutions of the sinh-Gordon equation and rank N Toda systems in bounded domains
In this paper we are concerned with the blow-up analysis of two classes of problems in
bounded domains arising in mathematical physics: sinh-Gordon equation and some general …
bounded domains arising in mathematical physics: sinh-Gordon equation and some general …
[HTML][HTML] A priori estimates for D4 and F4 Toda systems
D Karmakar, CS Lin, Z Nie - Journal of Functional Analysis, 2020 - Elsevier
In this article we establish the a priori bounds of the Toda systems with arbitrarily many
singular sources associated to the simple Lie algebras of type D 4 and F 4, extending the …
singular sources associated to the simple Lie algebras of type D 4 and F 4, extending the …
The blow-up analysis of an affine Toda system corresponding to superconformal minimal surfaces in S4
L Liu, G Wang - Journal of Functional Analysis, 2021 - Elsevier
In this paper, we study the blow-up analysis of an affine Toda system corresponding to
minimal surfaces into S 4. This system is an integrable system which is a natural …
minimal surfaces into S 4. This system is an integrable system which is a natural …
The Blow-Up Analysis on B2(1) Affine Toda System: Local Mass and Affine Weyl Group
It has been established that the local mass of blow-up solutions to Toda systems associated
with the simple Lie algebras,,, and can be represented by a finite Weyl group. In particular, at …
with the simple Lie algebras,,, and can be represented by a finite Weyl group. In particular, at …
Solutions to Toda system with cone singularities via toric curves on compact Riemann surfaces
J Mu, Y Shi, B Xu - arXiv preprint arXiv:2405.03161, 2024 - arxiv.org
On a compact Riemann surface (X) with finite punctures (P_1,\ldots, P_k), we define toric
curves as multi-valued, totally unramified holomorphic maps to (\mathbb {P}^ n) with …
curves as multi-valued, totally unramified holomorphic maps to (\mathbb {P}^ n) with …