Zahra Donyari, Mohsen Zivari-Rezapour, Behrouz Emamizadeh
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
spaces, we derive some qualitative properties
of the optimal solutions. We also derive some results regarding the optimal values.
Submitted April 12, 2021. Published May 6, 2021.
Math Subject Classifications: 35J25, 49K20.
Key Words: Existence; uniqueness; Orlicz spaces; minimization; tangent cone;
optimal solutions; optimal values.
DOI: https://doi.org/10.58997/ejde.2021.38
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Zahra Donyari Department of Mathematics Faculty of Mathematical Sciences and Computer Shahid Chamran University of Ahvaz Ahvaz, Iran email: z-donyari@stu.scu.ac.ir |
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Mohsen Zivari-Rezapour Department of Mathematics Faculty of Mathematical Sciences and Computer Shahid Chamran University of Ahvaz Ahvaz, Iran email: mzivari@scu.ac.ir |
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Behrouz Emamizadeh School of Mathematical Sciences University of Nottingham Ningbo China 199 Taikang East Road Ningbo 315100, China email: Behrouz.Emamizadeh@nottingham.edu.cn |
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