Kaushik Mohanta

activity

20202026

most citedHardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

15 citations · 36 across the 12 of their papers we have counts for

collaborators

Showing math.FAShow all

4 papers · 1 filter

math.FA2026

How to recognise extension domains

Riddhi Mishra, Kaushik Mohanta

Let $Ω \subset R^{n}$ be a bounded domain and $1 < p < \infty$ . We prove that there is a bounded extension operator $W ˙^{1, p} (Ω) \to W ˙^{1, p} (R^{n})$ if and o…

math.FA2026

Ciarlet Nečas condition in fractional Sobolev spaces

Stanislav Hencl, Jaromír Mielec, Kaushik Mohanta

Let $s \in (\frac{n}{n + 1}, 1)$ , $Ω \subset R^{n}$ be an open set and let $f \in W^{s, n / s} (Ω, R^{n})$ be mapping with positive distributional Jacobian $J_{f} > 0$ which…

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.FA2023★ 8 cited

Bourgain-Brezis-Mironescu formula for $W_{q}^{s, p}$ -spaces in arbitrary domains