A boundary-value problem in weighted H\"older spaces for elliptic equations which degenerate at the boundary of the domain
Sbornik. Mathematics, Tome 204 (2013) no. 7, pp. 958-978
Voir la notice de l'article provenant de la source Math-Net.Ru
An elliptic boundary-value problem for second-order equations with nonnegative characteristic form is investigated in the situation when there is a weak degeneracy on the boundary of the domain. A priori estimates are obtained for solutions and the problem is proved to be solvable in some weighted Hölder spaces.
Bibliography: 18 titles.
Keywords:
degenerate elliptic equation, weighted Hölder spaces, a priori estimate.
@article{SM_2013_204_7_a1,
author = {B. V. Bazalii and S. P. Degtyarev},
title = {A boundary-value problem in weighted {H\"older} spaces for elliptic equations which degenerate at the boundary of the domain},
journal = {Sbornik. Mathematics},
pages = {958--978},
publisher = {mathdoc},
volume = {204},
number = {7},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2013_204_7_a1/}
}
TY - JOUR AU - B. V. Bazalii AU - S. P. Degtyarev TI - A boundary-value problem in weighted H\"older spaces for elliptic equations which degenerate at the boundary of the domain JO - Sbornik. Mathematics PY - 2013 SP - 958 EP - 978 VL - 204 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2013_204_7_a1/ LA - en ID - SM_2013_204_7_a1 ER -
%0 Journal Article %A B. V. Bazalii %A S. P. Degtyarev %T A boundary-value problem in weighted H\"older spaces for elliptic equations which degenerate at the boundary of the domain %J Sbornik. Mathematics %D 2013 %P 958-978 %V 204 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2013_204_7_a1/ %G en %F SM_2013_204_7_a1
B. V. Bazalii; S. P. Degtyarev. A boundary-value problem in weighted H\"older spaces for elliptic equations which degenerate at the boundary of the domain. Sbornik. Mathematics, Tome 204 (2013) no. 7, pp. 958-978. http://geodesic.mathdoc.fr/item/SM_2013_204_7_a1/