Generalizations of the drift Laplace equation in the Heisenberg group and Grushin-type spaces
Date
2021-12-20
Authors
Bieske, Thomas
Blackwell, Keller
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We find fundamental solutions to p-Laplace equations with drift terms in the Heisenberg group and Grushin-type planes. These solutions are natural generalizations of the fundamental solutions discovered by Beals, Gaveau, and Greiner for the Laplace equation with drift term. Our results are independent of the results of Bieske and Childers, in that Bieske and Childers consider a generalization that focuses on the p-Laplace-type equation while we primarily concentrate on a generalization of the drift term.
Description
Keywords
p-Laplace equation, Heisenberg group, Grushin-type plane, Fundamental solution
Citation
Bieske, T., & Blackwell, K. (2021). Generalizations of the drift Laplace equation in the Heisenberg group and Grushin-type spaces. <i>Electronic Journal of Differential Equations, 2021</i>(99), pp. 1-13.