6 papers
Simultaneous Recovery of the Initial Source and Sound Speed for the Wave Equation under a Constitutive Constraint
Amir Moradifam
We study the simultaneous recovery of the initial source and sound speed for the scalar wave equation from a single boundary measurement. Although the recovery of either parameter…
Quantitative Stability of Generalized -Area Minimizing Surfaces
Amir Moradifam, Gerardo Orozco-Fernandez
We study the stability of -area minimizing surfaces in the Heisenberg group under perturbations of the weight function and the drift vector field in generalized least gradient p…
Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on ( \mathbb{S}^2 )
Changfeng Gui, Amir Moradifam
In this paper, we establish symmetry results for solutions of the mean field equation \[ \fracα{2} Îu + e^u - 1 = 0 \] on \( \mathbb{S}^2 \) for …
Stability of p-area minimizing surfaces in the Heisenberg group
Amir Moradifam, Gerardo Orozco-Fernandez
We study the stability of minimizers of weighted -area functionals associated with prescribed -mean curvature surfaces in the Heisenberg group. While existence and uniqueness…
A Generalization of the Sphere Covering Inequality
Changfeng Gui, Amir Moradifam
The Sphere Covering Inequality was introduced in \cite{GM} (\emph{Invent. Math.}, 2018) as a sharp geometric inequality that provides a lower bound for the total area of two distin…
Existence and structure of solutions for general -area minimizing surface
Amir Moradifam, Alexander Rowell
We study existence and structure of solutions to the Dirichlet and Neumann boundary problems associated with minimizers of the functional ,…