Sarvan T. Huseynov
In this article we consider p(x)-Laplace equations with two-phase degree p(x), taking two values p and q, when the boundary of the phase interface is a hyperplane. Assuming that in the part of the domain where q<p the equation degenerates uniformly for a small parameter, Holder continuity of the solution is established.
Submitted November 3, 2017. Published December 14, 2017.
Math Subject Classifications: 35J92, 35J65, 35J70, 35J62.
Key Words: (p,q)-Laplacian; elliptic equation; Holder continuity.
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| Sarvan T. Huseynov |
Baku State University
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