Fundamental solutions to the p-Laplace equation in a class of Grushin vector fields

We find the fundamental solution to the p-Laplace equation in a class of Grushin-type spaces. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding the fundamental solution of a generalized Grushin operator in Euclidean space. We then use this solution to fi...

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Bibliographic Details
Main Author: Thomas Bieske
Format: Article
Language:English
Published: Texas State University 2011-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/84/abstr.html