We discuss the application of the Mountain Pass Algorithm to the so-called quasi-linear Schrodinger equation, which is naturally associated with a class of nonsmooth functionals so that the classical algorithm cannot directly be used. A change of variable allows us to deal with the lack of regularity. We establish the convergence of a mountain pass algorithm in this setting. Some numerical experiments are also performed and lead to some conjectures.
|Numero di pagine
|DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B
|Stato di pubblicazione
|Pubblicato - 2013
- Mountain Pass algorithm