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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Format: | Article |
Language: | English |
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Texas State University
2011-06-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2011/84/abstr.html |