23 citations · 35 across the 22 of their papers we have counts for
12 papers · 1 filter
A quantitative convergence rate for torsional creep to the distance function as p tends to infinity
Farid Bozorgnia, Masoud Bayrami-Aminlouee, Khudoyor Mamayusupov
We prove that the Dirichlet -torsion function converges to the distance to the boundary at the rate in the uniform norm, on every bounded domain and with a co…
Inverse Robin Spectral Problem for the p-Laplace Operator
Farid Bozorgnia, Olimjon Eshkobilov
We study an inverse Robin spectral problem for the -Laplacian with mixed Dirichlet--Robin boundary conditions. The unknown coefficient lies on an inaccessible Robin portion, and…
Coincidence criteria and junction obstructions for two partially segregated elliptic systems
Farid Bozorgnia
We compare two singularly perturbed elliptic systems with the same partial-segregation constraint but different limiting mechanisms. System~A is determined by harmonic-difference i…
Gamma Convergence and Smooth Exact-segregation Approximation for Partially Segregated Systems
Farid Bozorgnia, Avetik Arakelyan
We study three-component Dirichlet energies subject to the partial segregation constraint \(u_1u_2u_3=0\). Our main result is a smooth approximation theorem on bounded Lipschitz do…
The regularity with respect to domains of the additive eigenvalues of superquadratic Hamilton--Jacobi equation
Farid Bozorgnia, Dohyun Kwon, Son N. T. Tu
We study the additive eigenvalues on changing domains, along with the associated vanishing discount problems. We consider the convergence of the vanishing discount problem on chang…
Uniqueness of a solution to a general class of discrete system defined on connected graphs
Avetik Arakelyan, Farid Bozorgnia
In this work we prove uniqueness result for an implicit discrete system defined on connected graphs. Our discrete system is motivated from a certain class of spatial segregation of…
A degenerate elliptic-parabolic system arising in competitive contaminant transport
Margarida Baía, Farid Bozorgnia, Léonard Monsaingeon +1
In this work we investigate a coupled system of degenerate and nonlinear partial differential equations governing the transport of reactive solutes in groundwater. We show that the…
Decay estimate for the solution of the evolutionary damped -Laplace equation
Farid Bozorgnia, Peter Lewintan
In this note, we study the asymptotic behavior, as tends to infinity, of the solution to the evolutionary damped -Laplace equation \begin{equation*} u_{tt}+a\, u_t =Δ_p…
On a Class of Singularly Perturbed Elliptic Systems with Asymptotic Phase Segregation
Farid Bozorgnia, Martin Burger
This work is devoted to study of a class of elliptic singular perturbed systems and their singular limit to a phase segregating system. We prove existence and uniqueness and study…
On the Uniqueness of the Solution to a Strongly Competing System
Avetik Arakelyan, Farid Bozorgnia
This work is devoted to prove uniqueness result for the positive solution to a strongly competing system of Lotka - Volterra type in the limiting configuration, when the competitio…
Simplicity of the the first eigenvalue of (p,q) nonlinear elliptic system
Farid Bozorgnia
In this short note, the simplicity of the first eigenvalue of a nonlinear system is shown by an alternative proof; thereby, it states that the first eigenfunctions are unique up to…
Uniqueness result for long range spatially segregation elliptic system
Farid Bozorgnia
We study a class of elliptic competition-diffusion systems of long range segregation models for two and more competing species. The existence and uniqueness of the solution are sho…