Symmetry for a quasilinear elliptic equation in Hyperbolic space

2023/06/25 by Ramya Dutta, Dutta, Ramya, Sandeep Kunnath +1
Mathematics · #35B06 #35B33 #35B44 #35B45 #35J92 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2306.14187

openalex publication_date 2023/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we establish the radial symmetry of positive solutions of a p- Laplace equation in the Hyperbolic space, which is the Euler Lagrange equation of the p- Poincare Sobolev inequality in the Hyperbolic space. We will also establish the sharp decay of solution and its gradient and also investigate the question of existence of solution.

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