The infinity(x)-equation in Grushin-type spaces
We employ Grushin jets which are adapted to the geometry of Grushin-type spaces to obtain the existence-uniqueness of viscosity solutions to the infinity(x)-Laplace equation in Grushin-type spaces. Due to the differences between Euclidean jets and Grushin jets, the Euclidean method of proof is n...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/125/abstr.html |
| Summary: | We employ Grushin jets which are adapted to the geometry of Grushin-type
spaces to obtain the existence-uniqueness of viscosity solutions to the
infinity(x)-Laplace equation in Grushin-type spaces. Due to the differences
between Euclidean jets and Grushin jets, the Euclidean method of proof is
not valid in this environment. |
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| ISSN: | 1072-6691 |