Kaushik Mohanta

most citedImproved Hardy inequalities on Riemannian Manifolds

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

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math.AP2023

On the singular problem involving $g$ -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 $Ω$ is a smooth bounded domain in $R^{N}$ , $q\in…

math.AP2023★ 2 cited

Improved Hardy inequalities on Riemannian Manifolds

Kaushik Mohanta, Jagmohan Tyagi

We study the following version of Hardy-type inequality on a domain $Ω$ in a Riemannian manifold $(M, g)$ : $$ \intΩ|\nabla u|_g^pρ^αdV_g \geq \left(\frac{|p-1+β|}{p}\right)^p\intΩ\f…

On the singular problem involving g-Laplacian

Improved Hardy inequalities on Riemannian Manifolds

On the singular problem involving $g$ -Laplacian