Solutions for Toda System on Riemann Surface with Boundary

Solutions for Toda System on Riemann Surface with Boundary

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摘要 In this paper, we study the solutions for Toda system on Riemann surface with boundary. We prove a sufficient condition for the existence of solution of Toda system in the critical case. In this paper, we study the solutions for Toda system on Riemann surface with boundary. We prove a sufficient condition for the existence of solution of Toda system in the critical case.

作者 Xiao Bao ZHU

机构地区 Institute of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第8期1501-1520,共20页 数学学报（英文版）

基金 Supported by National Natural Science Foundation of China （Grant No. 11001268）

关键词 Toda system Riemann surface with boundary Toda system, Riemann surface with boundary

分类号 TH122 [机械工程—机械设计及理论] O186.12 [理学—基础数学]

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1Kazdan, J., Warner, F.: Curvature functions for compact 2-manifolds. Ann. of Math., 99, 14-47 (1974).
2Caglioti, E., Lions, P. L., Marchioro, C., et al.: A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description. Comm. Math. Phys., 143, 501-525 (1992).
3Caglioti, E., Lions, P. L., Marchioro, C., et al.: A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description. Part II. Comm. Math. Phys., 174, 229-260 (1995).
4Chang, A. S. Y., Yang, P.: Conformal deformation of metrics on S2. J. Differential Geom., 23, 259-296 (1988).
5Chang, A. S. Y., Yang, P.: Prescribing Gaussian curvature on S2. Acta Math., 159, 214-259 (1987).
6Chen, C.-C., Lin, C.-S.: Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces. Comm. Pure Appl. Math., 55, 728-771 (2002).
7Chen, W. X., Ding, W. Y.: Scalar curvature on S2. Trans. Amer. Math. Soc., 303, 365-382 (1987).
8Chen, W. X., Li, C.: Classification of solutions of some nonlinear elliptic equations. Duke Math. J., 63, 615-622 (1991).
9Ding, W., Jost, J., Li, J., et al.: The differential equation △u = 8π-8πheu on a compact Riemann surface. Asian J. Math., 1, 230 -248 (1997).
10Zhu, X.: △u = 4π - 4πheu on a compact Riemann surface with boundary, Unpublished.

1樊志良.一类三参数超越方程稳定区域的确定[J].华北工学院学报,2003,24(2):83-86.
2伍炯宇.一类三参数超越方程稳定区域的界面位置[J].数学学报（中文版）,1994,37(3):301-308. 被引量：3
3Rui Chang PEI.A Remark on the Generalized Second Order Toda System[J].Acta Mathematica Sinica,English Series,2013,29(9):1691-1702.
4WANG Meng,LIU Qingyue.The Equation △u ＋ △Ф· △u = 8πc（1 - heu ） on a Riemann Surface[J].Journal of Partial Differential Equations,2012,25(4):335-355. 被引量：5
5薛怀玉.多元函数全微分的几个积分问题[J].咸阳师范学院学报,1996,12(3):3-7.
6李中强.高斯公式在普通物理中的作用[J].河南广播电视大学学报,1994,9(4):26-27.
7张平,仇庆久.3-D涡块边界曲面高阶正则性的传播[J].数学年刊（A辑）,1997,1(3):381-390.
8苗宗文.关于三重积分的计算[J].濮阳职业技术学院学报,1994,12(1):16-18.
9andrea malchiodi.Variational Analysis of Toda Systems(To Ham with admiration and gratitude)[J].Chinese Annals of Mathematics,Series B,2017,38(2):539-562.
10BAI Cheng-Lin.New and More General Rational Formal Solutions to （2＋1）-Dimensional Toda System[J].Communications in Theoretical Physics,2007,48(5X):881-884.

Acta Mathematica Sinica,English Series

2011年第8期

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Solutions for Toda System on Riemann Surface with Boundary

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