Abstract
Abstract
We study the following nonlinear Schrödinger equation with a fourth-order dispersion term
Δ
2
u
−
β
Δ
u
=
g
(
u
)
in
R
N
in the positive and zero mass regimes: in the former,
N
⩾
2
and
β
>
−
2
m
, where m > 0 depends on g; in the latter,
N
⩾
3
and β > 0. In either regimes, we find an infinite sequence of solutions under rather generic assumptions about g; if N = 2 in the positive mass case, or N = 4 in the zero mass case, we need to strengthen such assumptions. Our approach is variational.
Funder
Narodowe Centrum Nauki
Ministero dell’Istruzione, dell’Università e della Ricerca
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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