2 problems

Stability and ground-state transition conjecture for solitary waves
Stability conjecture. Let $1\leq d\leq 6$ . For $\alpha\leq 2/d$ , the solution $\varphi_\omega$ minimizes $\mathcal{E}$ at mass $M=M(\omega)$ for all $\omega\in(0,\omega^*)$ and is…
openorbital-stability quasi-linear-schrodinger-equations solitary-waves
0 responses
07
Uniqueness conjecture for radial decreasing quasi-linear Schrödinger solutions
Uniqueness conjecture. Then $\lambda_1=\lambda_2$ and $r_2=r_1(\cdot+\xi)$ for some $xi\in\mathbb{R}^3$ .
opennonlinear-elliptic-equations quasi-linear-schrodinger-equations uniqueness
0 responses
03

Stability and ground-state transition conjecture for solitary waves