Asymmetric blow-up for the SU(3) Toda system

被引：7

作者：

D'Aprile, Teresa ^{[1
,2
]}

Pistoia, Angela ^{[1
,2
]}

Ruiz, David ^{[1
,3
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento SBAI, Via Antonio Scarpa 16, I-00161 Rome, Italy

[3] Dept Anal Matemat, Granada 18071, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 271卷 / 03期

关键词：

Toda system; Blowing-up solutions; Finite-dimensional reduction; ANALYTIC ASPECTS; EXISTENCE RESULT; BEHAVIOR; EQUATION;

D O I：

10.1016/j.jfa.2016.04.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the so-called Toda system in a smooth planar domain under homogeneous Dirichlet boundary conditions. We prove the existence of a continuum of solutions for which both components blow up at the same point. This blow-up behavior is asymmetric, and moreover one component includes also a certain global mass. The proof uses singular perturbation methods. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：495 / 531

页数：37

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