Marcelo F. Furtado, Reinaldo de Marchi
Abstract:
We show the existence of a nonzero solution for the semilinear
Schrodinger equation
.
The potential V is periodic and 0 belongs to a gap of
.
The function f is superlinear and asymptotically periodic with respect to
x variable. In the proof we apply a new critical point theorem for
strongly indefinite functionals proved in [3].
Submitted July 8, 2016. Published January 13, 2017.
Math Subject Classifications: 35J50, 35J45.
Key Words: Strongly indefinite functionals; Schrodinger equation;
asymptotically periodic problem.
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Marcelo F. Furtado Universidade de Brasília Departamento de Matemática 70910-900 Brasília-DF, Brazil email: mfurtado@unb.br | |
Reinaldo de Marchi Universidade Federal do Mato Grosso Departamento de Matemática 78060-900 Cuiabá-MT, Brazil email: reinaldodemarchi@ufmt.br |
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