Picone’s identity for biharmonic operators on Heisenberg group and its applications
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Date
2016
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Publisher
Springer
Abstract
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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Keywords
Mathematics, Bi-Laplacian, Variational methods, Hardy-Rellich type inequality, Morse index, Caccioppoli inequality, Picone inequality