Some results on a class of nonliner Schrödinger equations |
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| Authors: | Massimo Grossi |
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| Institution: | (1) Dipartimento di Matematica, Università di Roma “La Sapienza”, P.le A.Moro 2, 00185 Roma, Italy (e-mail: grossi@mat.uniromA1.it), IT |
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| Abstract: | By using a Liapunov-Schmidt reduction we prove an existence result for the nonlinear Schr?dinger equation in where satisfies suitable assumptions. We also provide a necessary condition for the existence of solutions.
Received June 7, 1999 / in final form November 10, 1999 / Published online July 20, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35J10 35J60 |
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