An infinite-dimensional saddle point theorem
Tony Dorlas,
(School of Theoretical Physics, Dublin Institute for Advanced Studies)
15/05/2013
We formulate a higher-dimensional version of the saddle point method. The proof uses a lemma which depends on the Frobenius integrability theorem.
We also formulate an infinite-dimensional extension. However, the conditions are rather strong and at this moment no concrete applications have yet been explored.