Ramya Dutta, Sandeep Kunnath
Published 2023-06-25Version 1
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.
On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space
On scattering for NLS: from Euclidean to hyperbolic space
A new proof for the equivalence of weak and viscosity solutions for the $p$-Laplace equation
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