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math.AP2019
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…
math.AP2019
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…
math.AP2016
Extremal function for Moser-Trudinger type Inequality with Logarithmic weight
Prosenjit Roy
On the space of weighted radial Sobolev space, the following generalization of Moser-Trudinger type inequality was established by Calanchi and Ruf in dimension 2 : If …