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


Abdikarim A. Suragan D.
April 2022Birkhauser

Complex Analysis and Operator Theory
2022#16Issue 3

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.

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

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Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan

Department of Mathematics

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