3 problems

Nonexistence conjecture. If either of these integral conditions is satisfied on $M$, then every nonnegative solution of the equation referred to as $$ is identically zero.

Let $\mathcal{M}$ be the class of analytic functions $f$ in the unit disk $\mathbb{D}$ normalized by $f(0)=f'(0)-1=0$ and satisfying … A function is starlike in $\mathbb{D}$ if it…

Let $D$ be a domain, let $k\geq 1$, and let $\mathcal{F}$ be a family of meromorphic functions on $D$ satisfying the differential inequality … for every $f\in\mathcal{F}$ and every…