Existence of normalized solutions to Choquard equation with general mixed nonlinearities

• Main Authors: Zhu, Meiling, Li, Xinfu
• Format: Journal Article
• Language: English
• Published: 19.08.2024
• Subjects: Mathematics - Analysis of PDEs

We study the existence of normalized solutions to the following Choquard equation with $F$ being a Berestycki-Lions type function \begin{equation*} \begin{cases} -\Delta u+\lambda u=(I_{\alpha}\ast F(u))f(u),\quad \text{in}\ \mathbb{R}^N, \\ \int_{\mathbb{R}^N}|u|^2dx=\rho^2, \end{cases} \end{equati...