Peer-reviewedCC BYElectronic Journal of Differential Equations
Rearrangements of functions and optimization problems in Orlicz spaces
- 1Xi'an Jiaotong-Liverpool Univ., Suzhou, China
- 2Shahid Chamran Univ. of Ahvaz, Ahvaz, Iran
- 3Univ. of Nottingham, Ningbo, China
Abstract
We develop the rearrangement optimization theory in the setting of Orlicz spaces. By using this theory, we can investigate the rearrangement minimization and maximization problems related to the boundary value problems containing the Φ-Laplacian and the Φ-Kirchhoff operator separately. We show the existence of solutions and derive the corresponding optimality conditions for both the minimization and maximization problems. For the maximization problems, we also prove the uniqueness of solutions.
Related
- BMO-Type characterizations and endpoint estimates for commutators of intrinsic square functions on Orlicz-Hardy spaces
- Corona and Gleason problems for certain Banach spaces of holomorphic functions
- Parameter-dependent inhomogeneous boundary-value problems in spaces of continuously differentiable functions
- Global Weighted Gradient Estimates for Double Obstacle Problems with Orlicz Growth
- Notes on Orlicz Spaces and Interpolation
BibTeX
@article{liu2026rearrangements,
title = {{Rearrangements of functions and optimization problems in Orlicz spaces}},
author = {Yichen Liu and Mohsen Zivari-Rezapour and Behrouz Emamizadeh},
journal = {Electronic Journal of Differential Equations},
year = {2026},
month = aug,
url = {http://ejde.math.txstate.edu/Volumes/2026/62/abstr.html},
note = {CC BY},
}
RIS
TY - JOUR
TI - Rearrangements of functions and optimization problems in Orlicz spaces
AU - Yichen Liu
AU - Mohsen Zivari-Rezapour
AU - Behrouz Emamizadeh
PY - 2026
DA - 2026/08/01
JO - Electronic Journal of Differential Equations
UR - http://ejde.math.txstate.edu/Volumes/2026/62/abstr.html
AB - We develop the rearrangement optimization theory in the setting of Orlicz spaces. By using this theory, we can investigate the rearrangement minimization and maximization problems related to the boundary value problems containing the Φ-Laplacian and the Φ-Kirchhoff operator separately. We show the existence of solutions and derive the corresponding optimality conditions for both the minimization and maximization problems. For the maximization problems, we also prove the uniqueness of solutions.
SN - 1072-6691
ER -