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http://hdl.handle.net/10773/41688| Title: | A class of sub-elliptic equations on the Heisenberg group and related interpolation inequalities |
| Author: | Chen, J. Rocha, Eugénio M. |
| Keywords: | Sub-elliptic equations Least energy solutions Interpolation inequalities |
| Issue Date: | 2013 |
| Publisher: | Springer |
| Abstract: | We firstly prove the existence of least energy solutions to a class of sub-elliptic equations on the Heisenberg group. Then we use this least energy solution to give a sharp estimate to the smallest positive constant in the Gagliardo-Nirenberg inequality on the Heisenberg group. Finally we point out some extensions to the quasilinear sub-elliptic case. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/41688 |
| DOI: | 10.1007/978-3-0348-0516-2_7 |
| ISBN: | 978-3-0348-0515-5 |
| Appears in Collections: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 978-3-0348-0516-2 (1).pdf | 8.31 MB | Adobe PDF |  |
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