Displaying similar documents to “Problemi variazionali non lineari di tipo ellittico”

Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari

Silvia Cingolani (2001)

Bollettino dell'Unione Matematica Italiana

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In the present paper we survey some recents results concerning existence of semiclassical standing waves solutions for nonlinear Schrödinger equations. Furthermore, from Maxwell's equations we derive a nonlinear Schrödinger equation which represents a model of propagation of an electromagnetic field in optical waveguides.

Teoremi di esistenza al passaggio attraverso valori critici

Lamberto Cesari (1976)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Under sole qualitative hypotheses in the large the author has proved the existence of equibounded solutions to nonlinear operational equations in a Hilbert space when a parameter describes an interval containing a point of resonance. Applications have been made to problems of periodic solutions, and to elliptic problems.