5 papers
Symmetry and classification of solutions to an integral equation in the Heisenberg group
Jyotshana V. Prajapat, Anoop Skaria Varghese
In this paper we prove symmetry of nonnegative solutions of the integral equation \[ u (ζ) = \int\limits_{{\mathbb H}^n} |ζ^{-1} ξ|^{-(Q-α)} u(ξ)^{p} dξ\quad 1< p \leq \frac{Q+α}{Q…
Geodetically convex sets in the Heisenberg group
Jyotshana V. Prajapat, Anoop Varghese
We classify the geodetically convex sets and geodetically convex functions on the Heisenberg group , .
Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions on an Evolving Domain
Vandana Sharma, Jyotshana V. Prajapat
We consider reaction-diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions on an evolving domain. Us…
Two- and Multi-phase Quadrature Surfaces
Avetik Arakelyan, Jyotshana V. Prajapat, Henrik Shahgholian
In this paper we shall initiate the study of the two- and multi-phase quadrature surfaces (QS), which amounts to a two/multi-phase free boundary problems of Bernoulli type. The pro…
Harnack type inequality on Riemannian manifolds of dimension 5
Samy Skander Bahoura
We give some estimates of type sup inf on Riemannian manifold of dimension 5.