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arxiv: 1512.02825 · v1 · pith:LWATSHMFnew · submitted 2015-12-09 · 🧮 math.AP

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

classification 🧮 math.AP
keywords groupheisenberguniquenessellipticequationpositivequasilinearsolution
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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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