On multilinear Beckner systems

被引：0
|
作者：
Pezzolo, Fabio [1 ]
机构：
[1] Univ Trieste, Dipartimento Matemat & Geosci, Via Alfonso Valerio 12-1, I-34127 Trieste, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 515卷 / 02期
关键词：
Liouville theorems; Beckner inequality; Multilinear fractional integral equations; HLS type integral equations; Hardy-Littlewood-Sobolev inequality; Lane-Emden system; HARDY-LITTLEWOOD-SOBOLEV; LIOUVILLE-TYPE; EQUATIONS; CRITERIA;
D O I：
10.1016/j.jmaa.2022.126446
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the multilinear system of integral equations and inequalities associated to the k-fold Beckner inequality on R-N . We prove some Liouville theorems, where no conditions on symmetry or energy of solutions are assumed. Moreover, in the particular case k = 3 some existence results are obtained. (C) 2022 Elsevier Inc. All rights reserved.
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页数：17
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