Nondegeneracy of the entire solution for the N-Laplace Liouville equation

2022/10/30 by Takahashi, Futoshi
#35B08 #35J20 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.16757

Abstract

In this note, we prove the nondegenracy of the explicit finite-mass solution to the N-Laplace Liouville equation on the whole space, which is recently shown to be unique up to scaling and translation.

Related

• A classification result for the quasi-linear Liouville equation
• Isolated singularities for the n-Liouville equation
• Classification of solutions to the anisotropic N-Liouville equation in ℝ^N
• Linearized theory for entire solutions of a singular Liouvillle equation
• On the classification of entire solutions to the critical p-Laplace equation