2 problems

Let $m\geq 3$ and let $\mathcal{Y}^*$ denote the dual admissible space for the charge density. For $\rho\in\mathcal{Y}^*\cap L^q_{\mathrm{loc}}(\mathbb{R}^m)$ with $q>m$, let…

Upper-branch fold conjecture. The upper solution branch undergoes infinitely many folds, and $\lambda$ tends to a finite value bounded away from zero.