15 citations · 36 across the 12 of their papers we have counts for
14 papers
How to recognise extension domains
Riddhi Mishra, Kaushik Mohanta
Let be a bounded domain and . We prove that there is a bounded extension operator if and o…
Ciarlet Nečas condition in fractional Sobolev spaces
Stanislav Hencl, Jaromír Mielec, Kaushik Mohanta
Let , be an open set and let be mapping with positive distributional Jacobian which…
Note on injectivity in second-gradient Nonlinear Elasticity
Stanislav Hencl, Kaushik Mohanta
Let , and let be Lipschitz domain. We show that planar mappings in the second order Sobolev space $f\in W^{2,q}(Ω,\mathbb{R}^2…
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.
Fractional Hardy inequalities and capacity density
Lizaveta Ihnatsyeva, Kaushik Mohanta, Antti V. Vähäkangas
We prove that a pointwise fractional Hardy inequality implies a fractional Hardy inequality, defined via a Gagliardo-type seminorm. The proof consists of two main parts. The first…
Classifying Triebel-Lizorkin capacities in metric spaces
Juha Lehrbäck, Kaushik Mohanta, Antti V. Vähäkangas
We study non-local or fractional capacities in metric measure spaces. Our main goal is to clarify the relations between relative Hajlasz-Triebel-Lizorkin capacities, potentional Tr…
Traces of vanishing Hölder spaces
Kaushik Mohanta, Carlos Mudarra, Tuomas Oikari
For an arbitrary subset we introduce and study the three vanishing subspaces of the Hölder space consisting of those functions for which…
On the singular problem involving -Laplacian
Kaushik Bal, Riddhi Mishra, Kaushik Mohanta
In this paper, we show that the existence of a positive weak solution to the equation $(-Δ_g)^s u=f u^{-q(x)}\;\mbox{in}\; Ω,$ where is a smooth bounded domain in , $q\in…
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…
Improved Hardy inequalities on Riemannian Manifolds
Kaushik Mohanta, Jagmohan Tyagi
We study the following version of Hardy-type inequality on a domain in a Riemannian manifold : $$ \intΩ|\nabla u|_g^pρ^αdV_g \geq \left(\frac{|p-1+β|}{p}\right)^p\intΩ\f…
Bourgain-Brezis-Mironescu formula for -spaces in arbitrary domains
Kaushik Mohanta
Under certain restrictions on , the Triebel-Lizorkin spaces can be viewed as generalised fractional Sobolev spaces . In this article, we show that the Bourgain-Br…
On the best constant in fractional -Poincaré inequalities on cylindrical domains
Kaushik Mohanta, Firoj Sk
We investigate the best constants for the regional fractional -Poincaré inequality and the fractional -Poincaré inequality in cylindrical domains. For the special case ,…
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces
Kaushik Bal, Kaushik Mohanta, Prosenjit Roy +1
We provide sufficient conditions for boundary Hardy inequality to hold in bounded Lipschitz domains, complement of a point (the so-called point Hardy inequality), domain above the…
Bourgain-Brezis-Mironescu Domains
Kaushik Bal, Kaushik Mohanta, Prosenjit Roy
Bourgain et al.(2001) proved that for and smooth bounded domain , \begin{equation*} \lim\limits_{s\to1}(1-s)\iint \limits_{Ω\times Ω}\frac{\lvert f(x)…