Kirchhoff-type problems with critical Sobolev exponent in a hyperbolic space
| dc.contributor.author | Carriao, Paulo Cesar | |
| dc.contributor.author | Costa, Augusto Cesar dos Reis | |
| dc.contributor.author | Miyagaki, Olimpio H. | |
| dc.contributor.author | Vicente, Andre | |
| dc.date.accessioned | 2021-08-27T15:25:38Z | |
| dc.date.available | 2021-08-27T15:25:38Z | |
| dc.date.issued | 2021-06-14 | |
| dc.description.abstract | In this work we study a class of the critical Kirchhoff-type problems in a Hyperbolic space. Because of the Kirchhoff term, the nonlinearity uq becomes concave for 2 < q < 4. This brings difficulties when proving the boundedness of Palais Smale sequences. We overcome this difficulty by using a scaled functional related with a Pohozaev manifold. In addition, we need to overcome singularities on the unit sphere, so that we use variational methods to obtain our results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Carrião, P. C., Costa, A. C. D. R., Miyagaki, O. H., & Vicente, A. (2021). Kirchhoff-type problems with critical Sobolev exponent in a hyperbolic space. <i>Electronic Journal of Differential Equations, 2021</i>(53), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14463 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Kirchhoff-type problem | |
| dc.subject | Variational methods | |
| dc.subject | Hyperbolic space | |
| dc.title | Kirchhoff-type problems with critical Sobolev exponent in a hyperbolic space | en_US |
| dc.type | Article |