Concentration phenomena at saddle points of potential for Schrödinger-Poisson systems
Concentration phenomena at saddle points of potential for Schrödinger-Poisson systems
<p style='text-indent:20px;'>We consider in <inline-formula><tex-math id="M1">\begin{document}$ \mathbb R^3 $\end{document}</tex-math></inline-formula> the singularly perturbed Schrödinger-Poisson system <p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \begin{cases} - \varepsilon^2\Delta v+V(x)v+\phi(x)v = f(v)\\ - \Delta\phi = v^2 . \end{cases} \end{equation*} $\end{document} </tex-math></disp-formula> <p style='text-indent:20px;'>Using variational techniques, we construct solutions which concentrate around the saddle points of …