Optimization problems and mathematical analysis of optimal values in orlicz spaces

Zahra Donyari; Mohsen Zivari-Rezapour; Behrouz Emamizadeh

Optimization problems and mathematical analysis of optimal values in orlicz spaces

Zahra Donyari
, Mohsen Zivari-Rezapour^*
, Behrouz Emamizadeh

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

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.

Original language	English
Article number	38
Journal	Electronic Journal of Differential Equations
Volume	2021
Publication status	Published - 2021

Free Keywords

Existence
Minimization
Optimal solutions
Optimal values
Orlicz spaces
Tangent cone
Uniqueness

ASJC Scopus subject areas

Analysis

Cite this

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title = "Optimization problems and mathematical analysis of optimal values in orlicz spaces",

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.",

keywords = "Existence, Minimization, Optimal solutions, Optimal values, Orlicz spaces, Tangent cone, Uniqueness",

author = "Zahra Donyari and Mohsen Zivari-Rezapour and Behrouz Emamizadeh",

note = "Publisher Copyright: {\textcopyright} 2021 Texas State University.",

year = "2021",

language = "English",

volume = "2021",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Optimization problems and mathematical analysis of optimal values in orlicz spaces

AU - Donyari, Zahra

AU - Zivari-Rezapour, Mohsen

AU - Emamizadeh, Behrouz

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Existence

KW - Minimization

KW - Optimal solutions

KW - Optimal values

KW - Orlicz spaces

KW - Tangent cone

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/85115752263

M3 - Article

AN - SCOPUS:85115752263

SN - 1072-6691

VL - 2021

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 38

ER -

Optimization problems and mathematical analysis of optimal values in orlicz spaces

Abstract

Free Keywords

ASJC Scopus subject areas

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