Abstract
This paper is concerned with the following Schrödinger–Poisson system
where 3<p<5. With the help of an odd Nehari manifold and ‘energy doubling’ property, we prove the nonexistence of ground state sign-changing solutions on
. In this sense, our result explains why the existing literature can only consider the existence of the ground state sign-changing solutions in the radial Sobolev space
.
Disclosure statement
No potential conflict of interest was reported by the author(s).