Double choreographical solutions for n-body type problems
In this work, we prove the existence of solutions for the double choreographical n-body problem as critical points which are not minimizers of the corresponding Lagrangian action functional. We use the topological features of the sublevels of the action when a strong force assumption is imposed. We conclude with a description of an operative method to determine these solutions in ℝ3.
KeywordsCritical ponts theory n-body problem
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