Yuriy A. Alkhutov, Sarvan T. Huseynov
In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and prove an appropriate Harnack's inequality for the considered equation.
Submitted February 5, 2017. Published March 21, 2017.
Math Subject Classifications: 35j92, 35j65, 35j70, 35j62.
Key Words: p-Laplasian; Muckenhoupt weight; Harnack's inequality
Show me the PDF file (247 KB), TEX file for this article.
| Yuriy A. Alkhutov |
Stoletov Vladimir State University
| Sarvan T. Huseynov |
Baku State University
Return to the EJDE web page