2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…