S. Rodney

activity

20112026

most citedBoundedness of weak solutions of degenerate quasilinear equations with rough coefficients

2 citations · 5 across the 19 of their papers we have counts for

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Showing 2020Show all

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math.CA2020

A note on the limit of Orlicz norms

David Cruz-Uribe, Scott Rodney

We generalize the well-known inequality that the limit of the $L^{p}$ norm of a function as $p \to \infty$ is the $L^{\infty}$ norm to the scale of Orlicz spaces.

math.AP2020

Bounded weak solutions to elliptic PDE with data in Orlicz spaces

David Cruz-Uribe, Scott Rodney

A classical regularity result is that non-negative solutions to the Dirichlet problem $Δ u = f$ in a bounded domain $Ω$ , where $f \in L^{q} (Ω)$ , $q > \frac{n}{2}$ , satisfy $\|u\|_{L^\infty(…