Asymptotic Behavior of SU(3) Toda System in a Bounded Domain
نویسندگان
چکیده
We analyze the asymptotic behavior of blowing up solutions for the SU(3) Toda system in a bounded domain. We prove that there is no boundary blow-up point, and that the blow-up set can be localized by the Green function.
منابع مشابه
Condition for Fully Bubbling Solutions to Su(n+1) Toda Systems
It is well known that the study of SU(n+1) Toda systems is important not only to Chern-Simons models in Physics, but also to the understanding of holomorphic curves, harmonic sequences or harmonic maps from Riemann surfaces to CPn. One major goal in the study of SU(n+1) Toda system on Riemann surfaces is to completely understand the asymptotic behavior of fully bubbling solutions. In this artic...
متن کاملAsymptotic Behavior of Weighted Sums of Weakly Negative Dependent Random Variables
Let be a sequence of weakly negative dependent (denoted by, WND) random variables with common distribution function F and let be other sequence of positive random variables independent of and for some and for all . In this paper, we study the asymptotic behavior of the tail probabilities of the maximum, weighted sums, randomly weighted sums and randomly indexed weighted sums of heavy...
متن کاملToda system and cluster phase transition layers in an inhomogeneous phase transition model
We consider the following singularly perturbed elliptic problem ε4ũ + ( ũ− a(ỹ) ) (1− ũ) = 0 in Ω, ∂ũ ∂ν = 0 on ∂Ω, where Ω is a bounded domain in R with smooth boundary, −1 < a(ỹ) < 1, ε is a small parameter, ν denotes the outward normal of ∂Ω. Assume that Γ = { ỹ ∈ Ω : a(ỹ) = 0 } is a simple closed and smooth curve contained in Ω in such a way that Γ separates Ω into two disjoint components Ω...
متن کاملOn Psi-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
We provide necessary and sucient conditions for psi-conditional as-ymptotic stability of the solution of a linear matrix Lyapunov system and sucientconditions for psi -conditional asymptotic stability of the solution of a rst ordernon-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
متن کاملPermanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System
In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...
متن کامل