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

Aidana Abdikarim, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number41
JournalComplex Analysis and Operator Theory
Issue number3
Publication statusPublished - Apr 2022


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

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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