Generalised Picone’s identity and some Qualitative properties of p-sub-Laplacian on Heisenberg group – Advances in the theory of nonlinear analysis and its applications

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Original research article

Generalised Picone's identity and some Qualitative properties of p-sub-Laplacian on Heisenberg group

Author(s):

Gaurav Dwivedi

Department of Mathematics, Birla Institute of Technology & Science Pilani, Pilani Campus Jhunjhunu, Rajasthan, India – 333031.

Advances in the Theory of Nonlinear Analysis and its Applications 5(2), 232-239.

Received: August 7, 2020

Accepted: March 31, 2021

Published: April 4, 2021

Abstract

In this article, we derive a generalised nonlinear Picone’s identity for the p-sub-Laplacian on the Heisenberg group. 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 the p-sub-Laplacian.

Keywords: Picone’s identity; Heisenberg group; Hardy-type inequality; Picone’s inequality.

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APA Style

Dwivedi, G. (2021). Generalised Picone’s identity and some Qualitative properties of p-sub-Laplacian on Heisenberg group. Advances in the Theory of Nonlinear Analysis and its Application, 5(2), 232-239.