4 problems

Wave maximizer conjecture. The set of maximizers for which equality holds in the sharp wave Strichartz inequality coincides with the set of initial data of solutions in the orbit o…

Critical-extremizer characterization.

Sharp $L^2\to L^6$ extension conjecture. For all $f\in L^2(\mathbb{S}^1)\setminus\{0\}$,

Let $d$ be the dimension, let $p_0(d)$ be the exponent used in the generalized Euler–Lagrange equation, and let $\upsilon$ be the weight … Let $\lambda\in\mathbb C$ and let…