e-book Some existence results for the Toda system on closed surfaces

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Wang, Analytic aspects of the Toda system. Bubbling behavior and existence of solutions,, Comm. Jost and G. Kuo and C. Lin, Sharp estimate of solutions to mean field equation with integer singular sources: the first order approximation,, preprint , Li, Harnack type inequality: The method of moving planes,, Comm. Lin and C.

Variational analysis of Toda systems

Wang, Elliptic functions, Green functions and the mean field equations on tori,, Annal. Wei, Sharp estimates for bubbling solutions of a fourth order mean field equation,, Annali della Scuola Normale Superiore di Pisa Classe di Scienze , 6 , Wei, Locating the peaks of solutions via the maximum principle. A local version of the method of moving planes,, Comm.

Lin and S. Yan, Existence of bubbling solutions for Chern-Simons model on a torus,, Arch. Math , 66 , Lin, L. Wang and J. Wei, Topological degree for solutions of a fourth order mean field equation,, Math. Lin, J. Wei and C. Wei and D. Wei and L. Lin and L. Zhang, Profile of bubbling solutions to a Liouville system,, Annal. Poincar Anal. Non Lineaire , 27 , Zhang, A topological degree counting for some Liouville systems of mean field equations,, Comm.

Zhang, On Liouville systems at critical parameters, part 1: One bubble,, J. Ruiz, New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces,, Geom. Ruiz, A variational analysis of the Toda system on compact surfaces,, Comm. Malchiodi and C. Nolasco and G. Tarantello, Double vortex condensates in the Chern-Simons theory,, Cal. Robert and J. Wei, Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition,, Indiana University Math.

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Wei, Asymptotic behavior of a nonlinear fourth order eigenvalue problem,, Comm. Yang, The relativistic non-abelian Chern-Simons equation,, Comm. Yong Liu. Even solutions of the Toda system with prescribed asymptotic behavior. Qiao Liu , Shangbin Cui. Regularizing rate estimates for mild solutions of the incompressible Magneto-hydrodynamic system. Marek Fila , Michael Winkler. Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation.

Marco Cappiello , Fabio Nicola. Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations. Yuxia Guo , Jianjun Nie. Classification for positive solutions of degenerate elliptic system. Gerald Teschl. On the spatial asymptotics of solutions of the Toda lattice. Oleg Makarenkov , Paolo Nistri. On the rate of convergence of periodic solutions in perturbed autonomous systems as the perturbation vanishes. Zhilei Liang. Convergence rate of solutions to the contact discontinuity for the compressible Navier-Stokes equations.

Robert Schippa. Sharp Strichartz estimates in spherical coordinates. The Jacobi-Toda system and foliated interfaces. Linghai Zhang. Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations. Haitao Yang , Yibin Zhang. Boundary bubbling solutions for a planar elliptic problem with exponential Neumann data. Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space.

Numerical Simulation of Cut Surface Shape and Residual Stress Distribution in Shearing Process

Sharp weighted estimates for approximating dyadic operators. Electronic Research Announcements , , Tong Li , Hui Yin. Convergence rate to strong boundary layer solutions for generalized BBM-Burgers equations with non-convex flux. Isaac Alvarez-Romero , Gerald Teschl. On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies. Haiyan Yin , Changjiang Zhu. Convergence rate of solutions toward stationary solutions to a viscous liquid-gas two-phase flow model in a half line. Stationary waves to the two-fluid non-isentropic Navier-Stokes-Poisson system in a half line: Existence, stability and convergence rate.

Classification of positive solutions to a Lane-Emden type integral system with negative exponents. Convergence to equilibria of solutions to a conserved Phase-Field system with memory. American Institute of Mathematical Sciences. Keywords: convergence rate , Toda system , sharp estimates , bubbling solutions. Citation: Weiwei Ao. References: [1] W.

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    Sharp estimates for fully bubbling solutions of $B_2$ Toda system

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