S. MacDonald

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20222026

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math.AP2022

Bounded Weak Solutions of Degenerate $p$ -Poisson Equations

Sullivan Francis MacDonald, Scott Rodney

In this work we study global boundedness and exponential integrability of weak solutions to degenerate $p$ -Poisson equations using an iterative method of De Giorgi type. Given a sy…

math.AP2022

Families of Young Functions and Limits of Orlicz Norms

Scott Rodney, Sullivan F. MacDonald

Given a $σ$ -finite measure space $(X, μ)$ , a Young function $Φ$ , and a one-parameter family of Young functions ${Ψ_{q}}$ , we find necessary and sufficient conditions for the associa…

Bounded Weak Solutions of Degenerate p-Poisson Equations

Families of Young Functions and Limits of Orlicz Norms

Bounded Weak Solutions of Degenerate $p$ -Poisson Equations