We prove the C Ξ± regularity of the gradient of weak solutions of a class of quasi-linear equations in nilpotent stratified Lie groups of step two. As applications, we prove higher regularity theorems and a Liouville type theorem for 1-quasi-conformal mappings between domains of the Heisenberg group.
Nonexistence for Semilinear Equations and Systems in the Heisenberg Group
β Scribed by Niu Pengcheng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 90 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0022-247X
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