1. |
- Alkhutov, Yurij A., et al.
(författare)
-
Boyarsky-Meyers Estimate for Solutions to Zaremba Problem
- 2022
-
Ingår i: Archive for Rational Mechanics and Analysis. - : SPRINGER. - 0003-9527 .- 1432-0673. ; 245:2, s. 1197-1211
-
Tidskriftsartikel (refereegranskat)abstract
- The variational solution to the Zaremba problem for a divergent linear second order elliptic equation with measurable coefficients is considered. The problem is set in a local Lipschitz graph domain. An estimate in L2+δ, δ > 0, for the gradient of a solution, is proved. An example of the problem with the Dirichlet data supported by a fractal set of zero (n - 1)-dimensional measure and non-zero p-capacity, p > 1 is constructed.
|
|