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Bibliographic Details
Main Authors: Chen, Hua, Liao, Xin
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.00646
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Table of Contents:
  • This paper establishes some Liouville type results for solutions to the Lane Emden equation on the entire Heisenberg group, both in the stable and stable outside a compact set scenarios.Specifically, we prove that when p is smaller than the Joseph Lundgren exponent and does not equal the Sobolev exponent, 0 is the unique solution that is stable outside a compact set.