Picone’s identity for biharmonic operators on Heisenberg group and its applications

被引：0
作者：
Gaurav Dwivedi
Jagmohan Tyagi
机构：
[1] Indian Institute of Technology Gandhinagar,
来源：
Nonlinear Differential Equations and Applications NoDEA | 2016年 / 23卷
关键词：
Bi-Laplacian; Variational methods; Hardy-Rellich type inequality; Morse index; Caccioppoli inequality; Picone inequality; Picone’s identity on Heisenberg group; Primary 35J91; Secondary 35B35;
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摘要：
In this paper, we establish a nonlinear analogue of Picone’s identity for biharmonic operators on Heisenberg group. As an applications of Picone’s identity, we obtain Hardy-Rellich type inequality, Morse index, Caccioppoli inequality, Picone inequality for biharmonic operators on Heisenberg group.
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