101. New concentration phenomena for Toda system.
- Author
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Ao, Weiwei and Wang, Liping
- Subjects
- *
SMOOTHNESS of functions , *PARAMETER estimation , *EXISTENCE theorems , *POSITIVE systems , *MATHEMATICAL analysis - Abstract
Abstract: In this paper, we consider the following Toda system: where ρ is a positive parameter which will go to zero, is a positive smooth function, and is a unit ball in . In [29], the authors construct a family of solutions of (0.1) for , such that the solutions blow up at the origin with mass , after some scaling with the limiting profile in , , where for . In that paper, the authors ask whether there exist blow-up solutions of mass , with the limiting profile such that is the sum of two bubbles and has one bubble. In this paper, we prove that such solution exists. [Copyright &y& Elsevier]
- Published
- 2014
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