On the mountain pass algorithm for the quasi-linear Schrodinger equation

Marco Squassina, Christopher Grumiau, Christophe Troestler

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

1 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)1345-1360
Numero di pagine16
RivistaDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B
Volume18
Stato di pubblicazionePubblicato - 2013

Keywords

  • Mountain Pass algorithm

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