Ujjal Das

activity

20182025

most citedOn the optimization of the first weighted eigenvalue

10 citations · 18 across the 13 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math.AP2023

Characterizations of compactness and weighted eigenvalue problem associated with fractional Hardy-type inequalities

Ujjal Das, Rohit Kumar, Abhishek Sarkar

In this article, we consider the following fractional {Hardy-type} inequality: \begin{align} \label{Fractional Hardy_abst} \int_{\mathbb{R}^N} |w(x)||u(x)|^p \mathrm{d}x \leq C \in…

math.AP2023

A lower bound for the weighted-Hardy constant for domains satisfying a uniform exterior cone condition

Ujjal Das, Yehuda Pinchover

We consider weighted Hardy inequalities involving the distance function to the boundary of a domain in the $N$ -dimensional Euclidean space with nonempty boundary. We give a lower b…

math.AP2023

On Weighted Orlicz-Sobolev inequalities

T V Anoop, Ujjal Das, Subhajit Roy

Let $Ω$ be an open subset of $R^{N}$ with $N \geq 2.$ We identify various classes of Young functions $Φ$ and $Ψ$ , and function spaces for a weight function $g$ so that the fo…

math.AP2023

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, γ}$ -domains with compact boundary

Ujjal Das, Yehuda Pinchover, Baptiste Devyver

Let $p \in (1, \infty)$ , $α \in R$ , and $Ω ⊊ R^{N}$ be a $C^{1, γ}$ -domain with a compact boundary $\partial Ω$ , where $γ \in (0, 1]$ . Denote by $δ_{Ω} (x)$ the dis…

Characterizations of compactness and weighted eigenvalue problem associated with fractional Hardy-type inequalities

A lower bound for the weighted-Hardy constant for domains satisfying a uniform exterior cone condition

On Weighted Orlicz-Sobolev inequalities

On existence of minimizers for weighted Lp-Hardy inequalities on C1,γ-domains with compact boundary

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, γ}$ -domains with compact boundary