Green’s Identities for (p, q)-Sub-Laplacians on the Heisenberg Group and Their Applications

Aidana Abdikarim; Durvudkhan Suragan

doi:10.1007/s11785-022-01219-6

Green’s Identities for (p, q)-Sub-Laplacians on the Heisenberg Group and Their Applications

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, Green’s first and second identities are extended to (p, q)-sub-Laplacians on the Heisenberg group with some of their applications. Particularly, we apply Green’s identities to a nonlinear boundary value problem that involves the (p, q)-sub-Laplacian in order to show uniqueness of a positive weak solution.

Original language	English
Article number	41
Journal	Complex Analysis and Operator Theory
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/s11785-022-01219-6
Publication status	Published - Apr 2022

Keywords

(p, q) -Sub-Laplacian
Green’s identities
Heisenberg group
Uniqueness result

ASJC Scopus subject areas

Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s11785-022-01219-6

Cite this

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title = "Green{\textquoteright}s Identities for (p, q)-Sub-Laplacians on the Heisenberg Group and Their Applications",

abstract = "In this paper, Green{\textquoteright}s first and second identities are extended to (p, q)-sub-Laplacians on the Heisenberg group with some of their applications. Particularly, we apply Green{\textquoteright}s identities to a nonlinear boundary value problem that involves the (p, q)-sub-Laplacian in order to show uniqueness of a positive weak solution.",

keywords = "(p, q) -Sub-Laplacian, Green{\textquoteright}s identities, Heisenberg group, Uniqueness result",

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KW - Uniqueness result

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