Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups ℍ, n > 1
Journal fur die Reine und Angewandte Mathematik, ISSN: 0075-4102, Vol: 2010, Issue: 648, Page: 75-110
2010
- 16Citations
- 75Usage
- 1Captures
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Metrics Details
- Citations16
- Citation Indexes16
- 16
- CrossRef3
- Usage75
- Downloads65
- Abstract Views10
- Captures1
- Readers1
Article Description
We prove that Lipschitz intrinsic graphs in the Heisenberg groups ℍ, with n > 1, which are vanishing viscosity solutions of the minimal surface equation, are smooth and satisfy the PDE in a strong sense. © 2010 Walter de Gruyter Berlin · New York.
Bibliographic Details
https://scholarworks.smith.edu/mth_facpubs/137; https://digitalcommons.wpi.edu/mathematicalsciences-pubs/94; https://digitalcommons.wpi.edu/mathematicalsciences-pubs/81
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=79952478008&origin=inward; http://dx.doi.org/10.1515/crelle.2010.080; https://www.degruyter.com/document/doi/10.1515/crelle.2010.080/html; https://www.degruyter.com/document/doi/10.1515/crelle.2010.080/pdf; https://scholarworks.smith.edu/mth_facpubs/137; https://scholarworks.smith.edu/cgi/viewcontent.cgi?article=1137&context=mth_facpubs; https://digitalcommons.wpi.edu/mathematicalsciences-pubs/94; https://digitalcommons.wpi.edu/cgi/viewcontent.cgi?article=1097&context=mathematicalsciences-pubs; https://digitalcommons.wpi.edu/mathematicalsciences-pubs/81; https://digitalcommons.wpi.edu/cgi/viewcontent.cgi?article=1084&context=mathematicalsciences-pubs
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