Symmetry for a quasilinear elliptic equation in Hyperbolic space
Analysis of PDEs
2025-02-25 v4
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.
Keywords
Cite
@article{arxiv.2306.14187,
title = {Symmetry for a quasilinear elliptic equation in Hyperbolic space},
author = {Ramya Dutta and Sandeep Kunnath},
journal= {arXiv preprint arXiv:2306.14187},
year = {2025}
}
Comments
Added more details in proof of Theorem-3.8 and a new Remark-3.9. New Lemma-4.1 added. Corrected typos