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 2026Show all

3 papers · 1 filter

math.AP2026

Sobolev Inequalities and the Existence of Solutions to Degenerate $p$ -Poisson Equations

David Cruz-Uribe, Feyza Dal, Scott Rodney

In this paper we study an equivalence between the existence of a Sobolev inequality without gain, \[\|φ\|_{L^p(v,Ω)} \leq S(p,1) \| \sqrt{Q}\nabla φ\|_{L^p(Ω)},\] that holds for sm…

math.AP2026

Degenerate Sobolev and Poincaré inequalities via extrapolation

David Cruz-Uribe, Feyza Elif Dal, Scott Rodney

In this paper we prove matrix weighted Sobolev and Poincaré inequalities using techniques derived from the theory of Rubio de Francia extrapolation. Given weights $w, v$ and a sym…

math.FA2026

On $H = W$ in Banach function spaces

Şeyma Çetin, David Cruz-Uribe OFS, Scott Rodney

In this paper we prove `` $H = W$ " in the context of a Banach function space $X (Ω)$ . Let $Ω$ be a subset of $R^{n}$ and denote by $W_{X}^{1} (Ω)$ the collection of all those $f\in…

Sobolev Inequalities and the Existence of Solutions to Degenerate p-Poisson Equations

Degenerate Sobolev and Poincaré inequalities via extrapolation

On H=W in Banach function spaces

Sobolev Inequalities and the Existence of Solutions to Degenerate $p$ -Poisson Equations

On $H = W$ in Banach function spaces