Venttsel boundary value problems with discontinuous data
arXiv:1907.03017
Abstract
We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved.
Dedicated to Nina N. Uraltseva with admiration; 2 figures, to appear in "SIAM Journal on Mathematical Analysis", Sept. 12, 2019 (submitted); Sept. 30, 2020 (accepted)