12 citations · 22 across the 7 of their papers we have counts for
7 papers
Sharp pointwise estimates for weighted critical -Laplace equations
Shaya Shakerian, Jérôme Vétois
We investigate the asymptotic behavior of solutions to a class of weighted quasilinear elliptic equations which arise from the Euler--Lagrange equation associated with the Caffarel…
Existence Result for Non-linearly Perturbed Hardy-Schrödinger Problems: Local and Non-local cases
Shaya Shakerian
Let be a smooth bounded domain having zero in its interior We fix and We investigate a sufficient condition for the ex…
A variational problem associated to a hyperbolic Caffarelli--Kohn--Nirenberg inequality
Hardy Chan, Luiz Fernando de Oliveira Faria, Shaya Shakerian
We prove a Caffarelli--Kohn--Nirenberg inequality in the hyperbolic space. For a semilinear elliptic equation involving the associated weighted Laplace--Beltrami operator, we estab…
Mass and Extremals Associated with the Hardy-Schrödinger Operator on Hyperbolic Space
Hardy Chan, Nassif Ghoussoub, Saikat Mazumdar +2
We consider the Hardy-Schrödinger operator on the Poincaré ball model of the Hyperbolic space (). Here is a well chosen…
Multiple Positive Solutions for Nonlocal Elliptic Problems Involving the Hardy Potential and Concave-Convex Nonlinearities
Shaya Shakerian
In this paper, we study the existence and multiplicity of solutions for the following fractional problem involving the Hardy potential and concave-convex nonlinearities: $$({-}{ Δ}…
Mass and Asymptotics associated to Fractional Hardy-Schrödinger Operators in Critical Regimes
Nassif Ghoussoub, Frédéric Robert, Shaya Shakerian +1
We consider linear and non-linear boundary value problems associated to the fractional Hardy-Schrödinger operator on domains of $…
Borderline variational problems involving fractional Laplacians and critical singularities
Nassif Ghoussoub, Shaya Shakerian
We consider the problem of attainability of the best constant in the following critical fractional Hardy-Sobolev inequality: \begin{equation*} μ_{γ,s}(\R^n):= \inf\limits_{u \in H^…