3 papers
math.AP2024
A Symmetry problem for some quasi-linear equations in Euclidean space
Ramya Dutta, Pierre-Damien Thizy
We prove sharp asymptotic estimates for the gradient of positive solutions to certain nonlinear -Laplace equations in Euclidean space by showing symmetry and uniqueness of posit…
math.AP2023
Symmetry for a quasilinear elliptic equation in Hyperbolic space
Ramya Dutta, Sandeep Kunnath
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 Sob…
math.CA2018
Symmetry from sectional integrals for convex domains
Ramya Dutta, Suman Kumar Sahoo
Let be a bounded convex domain in (). In this work, we prove that if there exists an integrable function such that it's Radon transform over …