Solutions to the σk -Loewner-Nirenberg problem on annuli are locally Lipschitz and not differentiable
We show for k ≥ 2 that the locally Lipschitz viscosity solution to the σkLoewner-Nirenberg problem on a given annulus {a < |x| < b} is C 1, 1 k loc in each of {a < |x| ≤ √ ab} and { √ ab ≤ |x| < b} and has a jump in radial derivative across |x| = √ ab. Furthermore, the solution is not C...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Global Science Press
2021
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