Prosenjit Roy

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20142026

most citedExtremal Functions for the Singular Moser-Trudinger Inequality in 2 Dimensions

80 citations · 189 across the 17 of their papers we have counts for

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math.AP2016★ 18 cited

Extremal function for Moser-Trudinger type Inequality with Logarithmic weight

Prosenjit Roy

On the space of weighted radial Sobolev space, the following generalization of Moser-Trudinger type inequality was established by Calanchi and Ruf in dimension 2 : If $β \in [0, 1)$ …

math.AP2016

On some Variational Problems set on domains tending to infinity

Michel Chipot, Aleksandar Mojsic, Prosenjit Roy

Let $Ω_{ℓ} = ℓ ω_{1} \times ω_{2}$ where $ω_{1} \subset R^{p}$ and $ω_{2} \subset R^{n - p}$ are assumed to be open and bounded. We consider the following minimization problem: $$E_{Ω_\el…