B. Jaye

activity

20102026

most citedLocal and global behaviour of nonlinear equations with natural growth terms

14 citations · 28 across the 21 of their papers we have counts for

collaborators

Showing 2012 · math.APShow all

2 papers · 2 filters

math.AP2012

Quasilinear elliptic equations and weighted Sobolev-Poincaré inequalities with distributional weights

Benjamin J. Jaye, Vladimir G. Maz'ya, Igor E. Verbitsky

We introduce a class of weak solutions to the quasilinear equation $- Δ_{p} u = σ ∣ u ∣^{p - 2} u$ in an open set $Ω \subset R^{n}$ . Here $p > 1$ , and $Δ_{p} u$ is the $p$ -Laplacian operat…

math.AP2012

The fractional Riesz transform and an exponential potential

Benjamin Jaye, Fedor Nazarov, Alexander Volberg

In this paper we study the $s$ -dimensional Riesz transform of a finite measure $μ$ in $R^{d}$ , with $s \in (d - 1, d)$ . We show that the boundedness of the Riesz transform of $μ…