Mathematics > Analysis of PDEs
[Submitted on 1 Sep 2024
(v1)
, last revised 31 Oct 2024 (this version, v3)]
Title: Liouville Theorem for Lane-Emden Equation on the Heisenberg Group
Title: 关于Heisenberg群上Lane-Emden方程的Liouville定理
Abstract: 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.
Submission history
From: Xin Liao [view email][v1] Sun, 1 Sep 2024 07:37:52 UTC (12 KB)
[v2] Wed, 4 Sep 2024 13:07:30 UTC (13 KB)
[v3] Thu, 31 Oct 2024 00:56:10 UTC (1 KB)
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