Holder continuity for (p,q)-Laplace equations that degenerate uniformly on part of the domain
Texas State University, Department of Mathematics
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.
(p,q)-Laplacian, Elliptic equation, Holder continuity
Huseynov, S. T. (2017). Hölder continuity for (p,q)-Laplace equations that degenerate uniformly on part of the domain. <i>Electronic Journal of Differential Equations, 2017</i>(308), pp. 1-12.