English

On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups

Analysis of PDEs 2021-10-15 v1

Abstract

In the article we study the Dirichlet (p,q)(p,q)-eigenvalue problem for subelliptic non-commutative operators on nilpotent Lie groups. We prove solvability of this eigenvalue problem and existence of the minimizer of the corresponding variational problem.

Keywords

Cite

@article{arxiv.2110.07263,
  title  = {On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups},
  author = {Prashanta Garain and Alexander Ukhlov},
  journal= {arXiv preprint arXiv:2110.07263},
  year   = {2021}
}

Comments

10 pages

R2 v1 2026-06-24T06:52:58.282Z