Generalised Picone's identity and some Qualitative properties of p-sub-Laplacian on Heisenberg group
Keywords:
Picone' Identity, Heisenberg Group, Hardy type inequality, Picone's InequalityAbstract
In this article, we derive a generalised nonlinear Picone's identity for p� sub-Laplacian on the Heisenberg group. Our main result generalises the Picone's identity established by Niu et al.(Proceedings of the American Mathematical Society , Dec., 2001, Vol. 129, No. 12, pp. 3623-3630). As an application of Picone's identity, we prove a Hardy type inequality and Picone's inequality. We also establish some qualitative results involving the system of nonlinear equations involving p�-sub-Laplacian.
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