2 papers
math.AP2025
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 nonlo…
math.AP2024
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 inequ…