Regularity results for quasilinear elliptic equations in the Heisenberg group
β Scribed by Juan J. Manfredi; Giuseppe Mingione
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 579 KB
- Volume
- 339
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
We develop a simple variational argument based on the usual Nirenberg difference quotient technique to deal with the regularity of the solutions of Dirichlet and Neumann problems for some linear and quasilinear elliptic equation in Lipschitz domains. We obtain optimal regularity results in the natur
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.