Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
| dc.contributor.author | Feo, Filomena | |
| dc.contributor.author | Paderni, Gabriella | |
| dc.date.accessioned | 2021-11-29T20:54:06Z | |
| dc.date.available | 2021-11-29T20:54:06Z | |
| dc.date.issued | 2019-07-17 | |
| dc.description.abstract | In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space. As an application we study a class of equations, whose anisotropic elliptic condition is given in term of the density of Gauss measure. Finally some extensions of the main results are given for a class of weighted (not Gaussian one) anisotropic Sobolev spaces. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Feo, F., & Paderni, G. (2019). Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications. Electronic Journal of Differential Equations, 2019(89), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14977 | |
| 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 | Gauss measure | |
| dc.subject | Logarithmic Sobolev-Poincare inequality | |
| dc.subject | Anisotropic spaces | |
| dc.title | Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications | |
| dc.type | Article |