Ujjal Das

collaborators

3 papers

math.AP2026

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, I^^{3}}$ -domains with compact boundary

Ujjal Das, Yehuda Pinchover, Baptiste Devyver

Let $p \in (1, \infty)$ , $I^\pm \in R$ , and $I^c ◯ ⊊ R^{N}$ be a $C^{1, I^^{3}}$ -domain with a compact boundary $\partial I^c ◯$ , where $I^^{3} \in (0, 1]$ . Denote by $I^´_{I^} c ◯ (x)$ …

math.AP2026

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.AP2025

An optimal fractional Hardy inequality on the discrete half-line

In the context of Hardy inequalities for the fractional Laplacian $(- I^_{N})^{I ¨} $ on the discrete half-line $N$ , we provide an optimal Hardy-weight $W^{\mathrm{op}…

On existence of minimizers for weighted Lp-Hardy inequalities on C1,I^3-domains with compact boundary

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

An optimal fractional Hardy inequality on the discrete half-line

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, I^^{3}}$ -domains with compact boundary