T. Anoop

activity

20152026

most citedReverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions

1 citations · 2 across the 11 of their papers we have counts for

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Showing 2022 · math.APShow all

3 papers · 2 filters

math.AP2022

On the generalised Brezis-Nirenberg problem

T. V. Anoop, Ujjal Das

For $p \in (1, N)$ and a domain $Ω$ in $R^{N}$ , we study the following quasi-linear problem involving the critical growth: \begin{eqnarray*} -Δ_p u - μg|u|^{p-2}u = |u|^{p^{…

math.AP2022★ 1 cited

Reverse Faber-Krahn inequalities for Zaremba problems

T. V. Anoop, Mrityunjoy Ghosh

Let $Ω$ be a multiply-connected domain in $R^{n}$ ( $n \geq 2$ ) of the form $Ω = Ω_{out} ∖ Ω_{in} ˉ .$ Set $Ω_{D}$ to be either $Ω_{out}$ or $Ω_{\te…

math.AP2022

Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality

T. V. Anoop, K. Ashok Kumar

For $d \geq 2$ and $\frac{2 d + 2}{d + 2} < p < \infty$ , we prove a strict Faber-Krahn type inequality for the first eigenvalue $λ_{1} (Ω)$ of the $p$ -Laplace operator on a bounded Lipschi…