We study the existence of minimizers for a constrained variational problems in . These minimizers are stable waves solutions for the Generalized Camassa-Holm equation, and their derivative may have a singularity (in which case the travelling wave is called a peakon). The existence result is based on a method developed by the same author in a previous work. By giving examples, we show how our method works.
Submitted October 25, 2002. Published January 7, 2003.
Math Subject Classifications: 35J20, 49J10.
Key Words: variational problems, stability of peakons.
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