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arXiv · 2306.14187

Symmetry for a quasilinear elliptic equation in Hyperbolic space

Ramya Dutta·Sandeep Kunnath
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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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Ramya Dutta, Sandeep Kunnath. 2023-06-25. Symmetry for a quasilinear elliptic equation in Hyperbolic space. https://arxiv.org/abs/2306.14187

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