On the Boyarsky--Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift
Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 1, pp. 1-14

Voir la notice de l'article provenant de la source Math-Net.Ru

We establish the increased integrability of the gradient of the solution to the Dirichlet problem for the Laplace operator with lower terms and prove the unique solvability of this problem.
Keywords: Zaremba problem, Meyers estimates, embedding theorems, increased integrability.
@article{CMFD_2024_70_1_a0,
     author = {Yu. A. Alkhutov and G. A. Chechkin},
     title = {On the {Boyarsky--Meyers} estimate for the solution of the {Dirichlet} problem for a second-order linear elliptic equation with drift},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {1--14},
     publisher = {mathdoc},
     volume = {70},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2024_70_1_a0/}
}
TY  - JOUR
AU  - Yu. A. Alkhutov
AU  - G. A. Chechkin
TI  - On the Boyarsky--Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2024
SP  - 1
EP  - 14
VL  - 70
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2024_70_1_a0/
LA  - ru
ID  - CMFD_2024_70_1_a0
ER  - 
%0 Journal Article
%A Yu. A. Alkhutov
%A G. A. Chechkin
%T On the Boyarsky--Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift
%J Contemporary Mathematics. Fundamental Directions
%D 2024
%P 1-14
%V 70
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2024_70_1_a0/
%G ru
%F CMFD_2024_70_1_a0
Yu. A. Alkhutov; G. A. Chechkin. On the Boyarsky--Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift. Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/CMFD_2024_70_1_a0/