On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order
Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 343-367
Voir la notice de l'article provenant de la source Math-Net.Ru
The author studies some important interior and boundary properties of solutions of linear and quasilinear second order elliptic equations, which may in general be degenerate on the boundary of a (bounded or unbounded) domain. An a priori estimate of the Hölder norm of the solution is obtained, and new theorems are proved on regularity of a boundary point with respect to the Dirichlet problem. The Harnack inequality and Phragmén–Lindelöf type theorems are also proved.
Bibliography: 37 titles.
@article{SM_1985_50_2_a3,
author = {A. A. Novruzov},
title = {On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order},
journal = {Sbornik. Mathematics},
pages = {343--367},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_50_2_a3/}
}
TY - JOUR AU - A. A. Novruzov TI - On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order JO - Sbornik. Mathematics PY - 1985 SP - 343 EP - 367 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1985_50_2_a3/ LA - en ID - SM_1985_50_2_a3 ER -
%0 Journal Article %A A. A. Novruzov %T On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order %J Sbornik. Mathematics %D 1985 %P 343-367 %V 50 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1985_50_2_a3/ %G en %F SM_1985_50_2_a3
A. A. Novruzov. On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order. Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 343-367. http://geodesic.mathdoc.fr/item/SM_1985_50_2_a3/