3 papers
math.AP2024
On Fractional Orlicz-Hardy Inequalities
T. V. Anoop, Prosenjit Roy, Subhajit Roy
We establish the weighted fractional Orlicz-Hardy inequalities for various Orlicz functions. Further, we identify the critical cases for each Orlicz function and prove the weighted…
math.FA2023
Magnetic fractional Poincaré inequality in punctured domains
Kaushik Bal, Kaushik Mohanta, Prosenjit Roy
We study Poincaré-Wirtinger type inequalities in the framework of magnetic fractional Sobolev spaces. In the local case, Lieb-Seiringer-Yngvason [E. Lieb, R. Seiringer, and J. Yngv…
math.AP2023
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…