Abstract
We consider the following problem with combined nonlinearities:
where
when
;
when N = 2. By use of the Lyapunov-Schmidt reduction argument, under some expansion conditions of the potentials
and
, we establish infinitely many non-radial solutions. Especially, the nonlinearity
is allowed to be (super-)critical, that is,
.
Disclosure statement
No potential conflict of interest was reported by the author(s).