J. Feneuil

activity

20142026

most citedDirichlet problem in domains with lower dimensional boundaries

10 citations · 26 across the 23 of their papers we have counts for

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math.AP2023

An alternative proof of the $L^{p}$ -regularity problem for Dahlberg-Kenig-Pipher operators on $R_{+}^{n}$

Joseph Feneuil

In this article, we present a simpler and alternative proof of the solvability of the regularity problem - that is, the Dirichlet problem with boundary data in $W ˙^{1, p}$ - for…

math.AP2023

A Green function characterization of uniformly rectifiable sets of any codimension

Joseph Feneuil, Linhan Li

In this paper, we obtain a unified characterization of uniformly rectifiable sets of {\it any codimension} in terms of a Carleson estimate on the second derivatives of the Green fu…

An alternative proof of the Lp-regularity problem for Dahlberg-Kenig-Pipher operators on R+n​

A Green function characterization of uniformly rectifiable sets of any codimension

An alternative proof of the $L^{p}$ -regularity problem for Dahlberg-Kenig-Pipher operators on $R_{+}^{n}$