141 citations · 790 across the 75 of their papers we have counts for
4 papers · 2 filters
Green functions and smooth distances
Joseph Feneuil, Linhan Li, Svitlana Mayboroda
In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly re…
The Regularity problem in domains with lower dimensional boundaries
Zanbing Dai, Joseph Feneuil, Svitlana Mayboroda
In the present paper we establish the solvability of the Regularity boundary value problem in domains with (flat and Lipschitz) lower dimensional boundaries for operators whose coe…
Small results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries
Guy David, Linhan Li, Svitlana Mayboroda
In the present paper, we consider elliptic operators in a domain bounded by a chord-arc surface with small enough constant, and whose coefficients $A…
Carleson Perturbations for the Regularity Problem
Zanbing Dai, Joseph Feneuil, Svitlana Mayboroda
We prove that the solvability of the regularity problem in is stable under Carleson perturbations. If the perturbation is small, then the solvability is preserved…