80 citations · 189 across the 17 of their papers we have counts for
18 papers
Weighted Perimeters and pth Moments of Inertia of Convex Curves and Surfaces
Gyula Csató, Davide Giovagnoli, Prosenjit Roy
We study a shape optimization problem among convex bodies in that minimize or maximize weighted perimeters of the form $\int_{\partialΩ} ϕ(|x|) \, \mathrm{d} H^{n-1}…
A mixed eigenvalue problem on domains tending to infinity in several directions
Prosenjit Roy, Itai Shafrir
The aim of this article is to analyze the asymptotic behaviour of the eigenvalues of elliptic operators in divergence form with mixed boundary type conditions for domains that beco…
Asymptotic issue for fractional laplacian on long cylinders
Tahir Boudjeriou, Prosenjit Roy
In this paper, we are concerned with the asymptotic behavior of weak solutions to certain elliptic and parabolic problems involving the fractional -Laplacian in cylindrical doma…
Finsler -Laplacian in domains becoming unbounded
Luca Esposito, Lorenzo Lamberti, Dattatreya N. N. +1
We study the asymptotic behavior of sequences of solutions, energies functionals, and the first eigenvalues associated with the Finsler -Laplace operator, also known as the anis…
Fractional boundary Hardy inequality for the critical cases
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish generalised fractional boundary Hardy-type inequality, in the spirit of Caffarelli-Kohn-Nirenberg inequality for different values of and on various domains in…
Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction
Rama Rawat, Haripada Roy, Prosenjit Roy
The aim of this work is to characterize the asymptotic behaviour of the first eigenfunction of the generalised p-Laplace operator with mixed (Dirichlet and Neumann) boundary condit…