Optimization problems and mathematical analysis of optimal values in Orlicz spaces
| dc.contributor.author | Donyari, Zahra | |
| dc.contributor.author | Zivari-Rezapour, Mohsen | |
| dc.contributor.author | Emamizadeh, Behrouz | |
| dc.date.accessioned | 2021-08-26T13:53:50Z | |
| dc.date.available | 2021-08-26T13:53:50Z | |
| dc.date.issued | 2021-05-06 | |
| dc.description.abstract | This article concerns a minimization problem related to an elliptic equation in Orlicz-Sobolev spaces. We prove existence and uniqueness of optimal solutions and show that they are monotone and stable. Furthermore, by employing a characterization of the tangent cones in L∞ spaces, we derive some qualitative properties of the optimal solutions. We also derive some results regarding the optimal values. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Donyari, Z., Zivari-Rezapour, M., & Emamizadeh, B. (2021). Optimization problems and mathematical analysis of optimal values in Orlicz spaces. <i>Electronic Journal of Differential Equations, 2021</i>(38), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14448 | |
| 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 | existence | |
| dc.subject | uniqueness | |
| dc.subject | orlicz spaces | |
| dc.subject | minimization | |
| dc.subject | tangent cone | |
| dc.subject | optimal solutions | |
| dc.subject | optimal values | |
| dc.title | Optimization problems and mathematical analysis of optimal values in Orlicz spaces | |
| dc.type | Article |