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.
@article{BUMI_2001_8_4B_2_319_0, author = {Silvia Cingolani}, title = {Metodi variazionali e topologici nello studio delle equazioni di Schr\"odinger nonlineari agli stati stazionari}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {4-A}, year = {2001}, pages = {319-343}, zbl = {1182.58006}, mrnumber = {1831992}, language = {it}, url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_2_319_0} }
Cingolani, Silvia. Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 319-343. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_2_319_0/
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