Kaushik Mohanta

activity

20242026

collaborators

5 papers

math.FA2026

How to recognise extension domains

Riddhi Mishra, Kaushik Mohanta

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

math.FA2026

Ciarlet NeÄas condition in fractional Sobolev spaces

Stanislav Hencl, JaromÃr Mielec, Kaushik Mohanta

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

math.AP2025

Note on injectivity in second-gradient Nonlinear Elasticity

Stanislav Hencl, Kaushik Mohanta

Let $q > 1$ , $(1 - \frac{1}{q}) a \geq 1$ and let $I^c ◯ \subset R^{2}$ be Lipschitz domain. We show that planar mappings in the second order Sobolev space $f\in W^{2,q}(Î©,\mathbb{R}…

math.AP2025

Limits at infinity for functions in fractional Sobolev spaces

Angha Agarwal, Pekka Koskela, Kaushik Mohanta

We establish optimal results on limits at infinity for functions in fractional Sobolev spaces.

math.CA2024

Traces of vanishing HÃ¶lder spaces

Kaushik Mohanta, Carlos Mudarra, Tuomas Oikari

For an arbitrary subset $E \subset R^{n},$ we introduce and study the three vanishing subspaces of the HÃ¶lder space $C ˙^{0, I ¨ } (E)$ consisting of those functions for whic…