15 citations · 49 across the 10 of their papers we have counts for
10 papers
On Morrey's inequality in Sobolev-Slobodecki\uı spaces
Lorenzo Brasco, Francesca Prinari, Firoj Sk
We study the sharp constant in the Morrey inequality for fractional Sobolev-Slobodecki\uı spaces on the whole . By generalizing a recent work by Hynd and Seuffert, we…
On generalized eigenvalue problems of fractional -Laplace operator with two parameters
Nirjan Biswas, Firoj Sk
For and , we study the following nonlinear Dirichlet eigenvalue problem with parameters driven by the sum of two nonloca…
A system of equations involving the fractional -Laplacian and doubly critical nonlinearities
Mousomi Bhakta, Kanishka Perera, Firoj Sk
This paper deals with existence of solutions to the following fractional -Laplacian system of equations \begin{equation*} %\tag{}\label{MAT1} \begin{cases} (-Δ_p)^s…
A note on the supersolution method for Hardy's inequality
Francesca Bianchi, Lorenzo Brasco, Firoj Sk +1
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\uı spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This exten…
Characterization of fractional Sobolev--Poincaré and (localized) Hardy inequalities
Firoj Sk
In this paper, we prove capacitary versions of the fractional Sobolev--Poincaré inequalities. We characterize localized variant of the boundary fractional Sobolev--Poincaré inequal…
On the best constant in fractional -Poincaré inequalities on cylindrical domains
Kaushik Mohanta, Firoj Sk
We investigate the best constants for the regional fractional -Poincaré inequality and the fractional -Poincaré inequality in cylindrical domains. For the special case ,…
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces
Kaushik Bal, Kaushik Mohanta, Prosenjit Roy +1
We provide sufficient conditions for boundary Hardy inequality to hold in bounded Lipschitz domains, complement of a point (the so-called point Hardy inequality), domain above the…
Remarks on the fractional Moser-Trudinger inequality
Firoj Sk
In this article, we study the connection between the fractional Moser-Trudinger inequality and the fractional -Poincaré type inequality for any Eucli…
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded
Luca Esposito, Prosenjit Roy, Firoj Sk
We analyze the asymptotic behavior of the eigenvalues of nonlinear elliptic problems under Dirichlet boundary conditions and mixed (Dirichlet, Neumann) boundary conditions on domai…
Study of fractional Poincaré inequalities on unbounded domains
Indranil Chowdhury, Gyula Csató, Prosenjit Roy +1
The central aim of this paper is to study (regional) fractional Poincaré type inequalities on unbounded domains satisfying the finite ball condition. Both existence and non existen…