2 problems

Existence conjecture. For every $\Lambda\in(4\pi,+\infty)$, $F(u)$ has at least one critical point subject to this constraint. This would differ substantially from the non-existenc…

Let $u_k\in W^{1,2}(\mathbb{B}^2)$ be positive solutions of … on the Poincaré disk, satisfying the boundary decay and uniform energy bound in the stated setting, with…