Optimization problems and mathematical analysis of optimal values in Orlicz spaces
Date
2021-05-06
Authors
Donyari, Zahra
Zivari-Rezapour, Mohsen
Emamizadeh, Behrouz
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
existence, uniqueness, orlicz spaces, minimization, tangent cone, optimal solutions, optimal values
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.
Rights
Attribution 4.0 International