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math.AP2024
Boundary fractional Hardy's inequality in dimension one: The critical case
Adimurthi, Purbita Jana, Prosenjit Roy
We prove fractional boundary Hardy's inequality in dimension one for the critical case . Optimality of the inequality is obtained for any . The extra logarithmic correcti…
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.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…