Year: 2022
Type: preprint
Abstract: In this paper, we investigate the existence of multiple positive solutions to the following multi-critical Schrödinger equation \begin{equation} \label{p} \begin{cases} -Δu+λV(x)u=μ|u|^{p-2}u+\sum\limits_{i=1}^{k}(|x|^{-(N-α_i)}* |u|^{2^*_i})|u|^{2^*_i-2}u\quad \text{in}\ \mathbb{R}^N,\\ \qquad\qquad\qquad u\,\in H^1(\mathbb{R}^N), \end{cases} \end{equation} where $λ,μ\in \mathbb{R}^+, \, N\geqslant 4$, and $2^*_i=\frac{N+α_i}{N-2}$ with $N-4
Source: arXiv (Cornell University)
Authors: Xu, Ziyi, Yang, Jianfu
Institution: Jiangxi Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G7040444854
OpenAlex ID: W4221158862