Donyari, ZahraZivari-Rezapour, MohsenEmamizadeh, Behrouz2021-08-262021-08-262021-05-06Donyari, 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. 1-14.1072-6691https://hdl.handle.net/10877/14448This 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.Text14 pages1 file (.pdf)enAttribution 4.0 Internationalexistenceuniquenessorlicz spacesminimizationtangent coneoptimal solutionsoptimal valuesArticle