T. Anoop

activity

20152026

most citedOn the strict monotonicity of the first eigenvalue of the

p

-Laplacian on annuli

17 citations · 66 across the 22 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

3 papers · 2 filters

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 global bifurcation for the nonlinear Steklov problems

T. V. Anoop, Nirjan Biswas

For $p \in (1, \infty),$ for an integer $N \geq 2$ and for a bounded Lipschitz domain $Ω$ , we consider the following nonlinear Steklov bifurcation problem \begin{equation*} \begin{…

math.AP2020★ 15 cited

A shape variation result via the geometry of eigenfunctions

T. V. Anoop, K. Ashok Kumar, S Kesavan

We discuss some of the geometric properties, such as the foliated Schwarz symmetry, the monotonicity along the axial and the affine-radial directions, of the first eigenfunctions o…