Sarvan T. Huseynov
We consider a (p,q)-Laplace equation with the exponent values p,q depending on the boundary which is divided into two parts by a hyperplane. Assuming that the equation is uniformly degenerate with respect to a small parameter in the part of domain where q<p, a special Harnack inequality is proved for non-negative solutions.
Submitted January 5, 2018. Published July 17, 2018.
Math Subject Classifications: 35J62, 35J65, 35J70, 35J92.
Key Words: p(x)-Laplacian; elliptic equation; Harnack inequality.
Show me the PDF file (196 KB), TEX file for this article.
| Sarvan T. Huseynov |
Baku State University
Baku AZ1148, Azerbaijan
Return to the EJDE web page