Continuous imbedding in Musielak spaces with an application to anisotropic nonlinear Neumann problems
| dc.contributor.author | Youssfi, Ahmed | |
| dc.contributor.author | Khatri, Mohamed Mahmoud Ould | |
| dc.date.accessioned | 2021-08-23T15:37:11Z | |
| dc.date.available | 2021-08-23T15:37:11Z | |
| dc.date.issued | 2021-04-05 | |
| dc.description.abstract | We prove a continuous embedding that allows us to obtain a boundary trace imbedding result for anisotropic Musielak-Orlicz spaces, which we then apply to obtain an existence result for Neumann problems with nonlinearities on the boundary associated to some anisotropic nonlinear elliptic equations in Musielak-Orlicz spaces constructed from Musielak-Orlicz functions on which and on their conjugates we do not assume the Δ2-condition. The uniqueness of weak solutions is also studied. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 28 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Youssfi, A., Mahmoud, M., & Khatri, O. (2021). Continuous imbedding in Musielak spaces with an application to anisotropic nonlinear Neumann problems. <i>Electronic Journal of Differential Equations, 2021</i>(26), pp. 1-28. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14423 | |
| 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 | Musielak-Orlicz space | |
| dc.subject | Imbedding | |
| dc.subject | Boundary trace imbedding | |
| dc.subject | Weak solution | |
| dc.subject | Minimizer | |
| dc.title | Continuous imbedding in Musielak spaces with an application to anisotropic nonlinear Neumann problems | en_US |
| dc.type | Article |