Local regularity of the monotone rearrangement

被引：0

作者：

Rakotoson, JE

Rakotoson, JM

机构：

[1] Cite Prof Univ, Ambonifahidrano 301, Fianarantsoa, Madagascar

[2] Univ Poitiers Math, F-86960 Futuroscope, France

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期

关键词：

monotone rearrangement; relative rearrangement;

D O I：

10.1016/S0893-9659(04)90074-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if a function u is locally integrable with its gradient also locally integrable on a connected open set Omega then its monotone decreasing rearrangement is locally absolutely continuous provided that Omega can be approximated by a sequence of Lipchitz connected bounded open sets. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：353 / 355

页数：3

共 50 条

[1] A CO-AREA FORMULA WITH APPLICATIONS TO MONOTONE REARRANGEMENT AND TO REGULARITY
RAKOTOSON, JM
TEMAM, R
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 109 (03) : 213 - 238
[2] RELATIVE REARRANGEMENT ON A MEASURE SPACE APPLICATION TO THE REGULARITY OF WEIGHTED MONOTONE REARRANGEMENT .1.
RAKOTOSON, JM
SIMON, B
[J]. APPLIED MATHEMATICS LETTERS, 1993, 6 (01) : 75 - 78
[3] THE MACKEY CONTINUITY OF THE MONOTONE REARRANGEMENT
HORSLEY, A
WROBEL, AJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 97 (04) : 626 - 628
[4] Weak monotone rearrangement on the line
Backhoff-Veraguas, Julio
Beiglboeck, Mathias
Pammer, Gudmund
[J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2020, 25
[5] The regularity of monotone maps of finite compression
Caffarelli, LA
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1997, 50 (06) : 563 - 591
[6] Regularity and robustness in monotone Bayesian games
Beggs, A. W.
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2015, 60 : 145 - 158
[7] Displacement Interpolation Using Monotone Rearrangement
Rim, Donsub
Mandli, Kyle T.
[J]. SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2018, 6 (04): : 1503 - 1531
[8] Constructive approach to the monotone rearrangement of functions
Barbarino, Giovanni
Bianchi, Davide
Garoni, Carlo
[J]. EXPOSITIONES MATHEMATICAE, 2022, 40 (01) : 155 - 175
[9] Rearrangement inequalities for functionals with monotone integrands
Burchard, A
Hajaiej, H
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 233 (02) : 561 - 582
[10] On time regularity of stochastic evolution equations with monotone coefficients
Breit, Dominic
Hofmanova, Martina
[J]. COMPTES RENDUS MATHEMATIQUE, 2016, 354 (01) : 33 - 37

← 1 2 3 4 5 →