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Results tagged with critical-point-theory
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user 50614
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Proving the non-degeneracy of the critical points of the potential function for a certain ve...
This question is an expansion of another question that I asked over at Math Stack Exchange.
In what follows, $ \alpha \in \mathbb{R}_{> 1} $ is a constant, $ n $ a fixed integer $ \geq 2 $, and $ [n] …
- 1,396
0
votes
Proving the non-degeneracy of the critical points of the potential function for a certain ve...
My reason for this post is two-fold: (i) To give an answer for the case $ \alpha = 2 $. (ii) To attract attention to the other cases, which remain open.
The potential function $ U: \mathbb{R}^{2} \ …
- 1,396