A Brezis-Nirenberg problem on hyperbolic spaces
| dc.contributor.author | Carriao, Paulo Cesar | |
| dc.contributor.author | Lehrer, Raquel | |
| dc.contributor.author | Miyagaki, Oliimpio Hiroshi | |
| dc.contributor.author | Vicente, Andre | |
| dc.date.accessioned | 2021-11-29T13:59:16Z | |
| dc.date.available | 2021-11-29T13:59:16Z | |
| dc.date.issued | 2019-05-13 | |
| dc.description.abstract | We consider a Brezis-Nirenberg problem on the hyperbolic space ℍn. By using the stereographic projection, the problem becomes a singular problem on the boundary of the open ball B1(0) ⊂ ℝn. Thanks to the Hardy inequality, in a version due to Brezis-Marcus, the difficulty involving singularities can be overcame. We use the mountain pass theorem due to Ambrosetti-Rabinowitz and Brezis-Nirenberg arguments to obtain a nontrivial solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Carrião, P. C., Lehrer, R., Miyagaki, O. H., & Vicente, A. (2019). A Brezis-Nirenberg problem on hyperbolic spaces. <i>Electronic Journal of Differential Equations, 2019</i>(67), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14955 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Variational method | |
| dc.subject | Critical point | |
| dc.subject | Critical exponent | |
| dc.subject | Hyperbolic manifold | |
| dc.title | A Brezis-Nirenberg problem on hyperbolic spaces | |
| dc.type | Article |