Year: 2026
Type: preprint
Abstract: Given $ρ>0$, we consider the problem \[ \text{find $(λ,u) \in \mathbb{R} \times H_0^1(B)$ such that } \begin{cases} -Δu+λu = |u|^{p-1}u & \text{in } B \\ \int_B u^2\,dx = ρ, \end{cases} \] where $B$ is a ball in $\mathbb{R}^N$, $N \ge 1$, and $1
Source: arXiv (Cornell University)
Author: Soave, Nicola
Institution: University of Turin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213257667