Uniqueness of positive solution for a quasilinear elliptic equation in heisenberg group

2015/12/09 by Kaushik Bal, Bal, Kaushik
Computer Science · Mathematics · #35H20 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1512.02825

openalex publication_date 2015/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we are interested in addressing the question of existence and uniqueness of positive solution to a quasilinear elliptic equation involving p-laplacian in Heisenberg Group. The idea is to prove the uniqueness by using Diaz-Saa Inequality in Heisenberg Group which we obtain via a generalized version of Picone's Identity.

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