Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications

被引：0
|
作者：
Suragan, Durvudkhan [1 ]
Yessirkegenov, Nurgissa [2 ,3 ]
机构：
[1] Nazarbayev Univ, Dept Math, Nur Sultan, Kazakhstan
[2] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium
[3] Inst Math & Math Modeling, Alma Ata, Kazakhstan
来源：
ADVANCES IN OPERATOR THEORY | 2021年 / 6卷 / 03期
关键词：
Picone's identity; p-sub-Laplacian; Anisotropic p-sub-Laplacian; Hardy inequality; Friedrichs inequality; Stratified group; Principal eigenvalue; KOHN-LAPLACIAN; DIRICHLET PROBLEM; HARDY; INEQUALITIES; PRINCIPLE; EQUATION; RELLICH;
D O I：
10.1007/s43036-021-00150-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish generalised nonlinear Picone identities for p-sub-Laplacians, anisotropic p-sub-Laplacians and p-biharmonic operators on general stratified Lie groups. Moreover, we give applications to horizontal Hardy inequalities, Sturmian comparison principles as well as to weighted eigenvalue problems for p-sub-Laplacian and p-biharmonic operators.
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页数：17
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