4 problems

Non-degeneracy conjecture. The non-degeneracy property holds without the assumption that $\gamma$ is sufficiently small.

Consider the conformally invariant fourth-order critical system studied in the paper, and let a solution mean a solution of that system on the domain under consideration. Guo's per…

Let $\beta\ge\sqrt{8}$ and let $u$ be a bounded entire solution of … Assume that $u_{x_N}(x)>0$ for every $x\in\mathbb{R}^N$. Analogue of De Giorgi's conjecture for the fourth-orde…

Let $u_*$ be the source-type self-similar solution of the fourth-order equation described above, and let $u$ be any solution to that equation. Asymptotic self-similarity conjecture…