2 papers
math.CV2026
Structural aspects of extremal functions in the Krzyż conjecture
Sullivan F. MacDonald
Extremal functions for the th coefficient in the Krzyż conjecture are atomic singular inner functions with at most atoms. This paper gives a lower bound on the number of ato…
math.AP2024
Bounded solutions of degenerate elliptic equations with an Orlicz-gain Sobolev inequality
David Cruz-Uribe, Sullivan F. MacDonald, Scott Rodney
We consider the boundedness and exponential integrability of solutions to the Dirichlet problem for the degenerate elliptic equation \[ -v^{-1}\mathrm{Div}(|\sqrt{Q}\nabla u|^{p-2}…