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...
| Principais autores: | , |
|---|---|
| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
Global Science Press
2021
|