We study the existence of single- and multi-bump solutions of quasilinear
Schrödinger equations
the function
being a critical frequency in the sense that
. We show that if the zero
set of
has several isolated
connected components
such that the interior of
is
not empty and
is smooth,
then for
large, there exists,
for any nonempty subset
,
a standing wave solution trapped in a neighborhood of
.
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