English

A multiphase eigenvalue problem on a stratified Lie group

Analysis of PDEs 2024-11-18 v1

Abstract

We consider a multiphase spectral problem on a stratified Lie group. We prove the existence of an eigenfunction of (2,q)(2,q)-eigenvalue problem on a bounded domain. Furthermore, we also establish a Pohozaev-like identity corresponding to the problem on the Heisenberg group.

Cite

@article{arxiv.2405.14308,
  title  = {A multiphase eigenvalue problem on a stratified Lie group},
  author = {Debajyoti Choudhuri and Leandro S. Tavares and Dušan D. Repovš},
  journal= {arXiv preprint arXiv:2405.14308},
  year   = {2024}
}
R2 v1 2026-06-28T16:36:50.351Z