Nonexistence of ground state sign-changing solutions for autonomous
Schr\”{o}dinger-Poisson system with critical growth
Abstract
The paper is concerned with the following
Schr\”{o}dinger-Poisson system $$
\left\{\begin{array}{ll}
-\Delta u+u+\phi
u=|u|^{p-1}u+|u|^4u,
&x\in \mathbb{R}^3,
\\[0.25cm]
-\Delta\phi=u^2, &x\in
\mathbb{R}^3, \end{array}
\right. $$ where $3
, 
