Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
Alkhutov, Yuriy A.
Texas State University, Department of Mathematics
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.
p-Laplasian, Muckenhoupt weight, Harnack's inequality
Alkhutov, Y. A., & Huseynov, S. T. (2017). Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain. <i>Electronic Journal of Differential Equations, 2017</i>(79), pp. 1-13.