TY - JOUR
AU - S. T. Huseynov
PY - 2017/12/25
Y2 - 2020/11/29
TI - Hölder continuity and the Harnack inequality for the solutions of an elliptic
equation containing the $p$ -Laplacian and uniformly degenerating in a part of the domain
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 12
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1806
AB - We consider quasilinear equations of the $p$-Laplacian type uniformly degenerating in a part of the domain. An analog of theHarnack inequality is proved for nonnegative solutions and the Holder continuity of the solutions is established by usingthis inequality.
ER -