15 citations · 36 across the 12 of their papers we have counts for
7 papers · 1 filter
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.
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…
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…
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)…