Abstract
We consider the following class of elliptic problems
where
,
is a sign-changing weight function,
is continuous,
and
are real parameters,
and
is a magnetic potential. Exploring the relationship between the Nehari manifold and fibering maps, we will discuss the existence, multiplicity and regularity of solutions.
Disclosure statement
The authors have no conflicts of interest to declare. Also, all co-authors have seen and agree with the contents of the manuscript and there is no financial interest to report. We certify that the submission is original work and is not under review at any other publication.