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 2020Show all

2 papers · 1 filter

math.AP2020★ 3 cited

Admissible function spaces for weighted Sobolev inequalities

T. V. Anoop, Nirjan Biswas, Ujjal Das

Let $k, N \in N$ with $1 \leq k \leq N$ and let $Ω = Ω_{1} \times Ω_{2}$ be an open set in $R^{k} \times R^{N - k}$ . For $p \in (1, \infty)$ and $q \in (0, \infty),$ we co…

math.AP2020

On weighted logarithmic-Sobolev & logarithmic-Hardy inequalities

Ujjal Das

For $N \geq 3$ and $p \in (1, N)$ , we look for $g \in L_{l oc}^{1} (R^{N})$ that satisfies the following weighted logarithmic Sobolev inequality: \begin{equation*} \int_{\mathbb{…