New blow-up phenomena for SU(n+1) Toda system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Musso, Monica¹  Pistoia, Angela²  Wei, Juncheng^3,4 

[1] Pontificia Univ Catolica Chile, Dept Matemat, Casilla 306,Correo 22, Santiago, Chile

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

[3] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

[4] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

关键词: Toda system;    Blow-up solutions;    Multiple blow-up points;   

DOI  :  10.1016/j.jde.2015.12.036

来源: Elsevier

【 摘 要 】

We consider the SU(n + 1) Toda system [GRAPHICS] If 0 is an element of Omega and Omega is symmetric with respect to the origin, we construct a family of solutions (u(1 lambda), ..., u(k lambda)) to (S-lambda) such that the i-th component u(i lambda) blows-up at the origin with a mass 2(i+1)pi as lambda goes to zero. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free