Vivek Sahu

activity

20242026

collaborators

6 papers

math.AP2026

Trudinger-Moser type inequality in fractional Sobolev space with singularity on smooth submanifold

Vivek Sahu

We prove a Trudinger-Moser type inequality in fractional Sobolev spaces with singularities on smooth compact sets of codimension $k$ , where $1 < k < d$ and $s p = d$ . The singular t…

math.AP2026

Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis

Avas Banerjee, Debdip Ganguly, Vivek Sahu

A classical result due to Frank and Seiringer asserts that for $1 \leq p < \frac{N}{s}$ , there exists a sharp constant $C_{N, s, p} > 0$ such that $$ Î´_{s,p}(u):=\int_{\mathbb{R}^…

math.AP2026

Fractional boundary Hardy inequality for the critical cases

Adimurthi, Prosenjit Roy, Vivek Sahu

We establish generalised fractional boundary Hardy-type inequality, in the spirit of Caffarelli-Kohn-Nirenberg inequality for different values of $s$ and $p$ on various domains in…

math.AP2025

Fractional Hardy inequality with singularity on submanifold

Adimurthi, Prosenjit Roy, Vivek Sahu

We establish fractional Hardy inequality on bounded domains in $R^{d}$ with inverse of distance function from smooth boundary of codimension $k$ , where $k = 2, \dots, d$ , as…

math.AP2025

Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold

MichaÅ Kijaczko, Vivek Sahu

We investigate the sharp constant for weighted fractional Hardy inequalities with the singularity on a flat submanifold of codimension $k$ , where $1 \leq k < d$ . We also prove a weigh…

math.AP2024

The Trudinger type inequality in fractional boundary Hardy inequality

Adimurthi, Prosenjit Roy, Vivek Sahu

We establish Trudinger-type inequality in the context of fractional boundary Hardy-type inequality for the case $s p = d$ , where $p > 1, s \in (0, 1)$ on a bounded Lipschitz domain $Î©…