Sheela Verma

activity

20182020

collaborators

7 papers

math.DG2020

Sharp Steklov upper bound for submanifolds of revolution

Bruno Colbois, Sheela Verma

In this note, we find a sharp upper bound for the Steklov spectrum on a submanifold of revolution in Euclidean space with one boundary component.

math.DG2020

An isoperimetric inequality for harmonic mean of Steklov eigenvalues in Hyperbolic space

Sheela Verma

In this article, we prove an isoperimetric inequality for the harmonic mean of the first $(n - 1)$ nonzero Steklov eigenvalues on bounded domains in $n$ -dimensional Hyperbolic space.…

math.DG2019

An upper bound for the first nonzero Neumann eigenvalue

Sheela Verma

Let $M$ denote a complete, simply connected Riemannian manifold with sectional curvature $K_{M} \leq k$ and Ricci curvature $Ric_{M} \geq (n - 1) K$ ,…

math.DG2019

Some sharp bounds for Steklov eigenvalues

Sheela Verma, G. Santhanam

This work is an extension of a result given by Kuttler and Sigillito (SIAM Rev $10$ : $368 - 370$ , $1968$ ) on a star-shaped bounded domain in $R^{2}$ . Let $Ω$ be a star-shaped b…

math.AP2018

Upper bound for the first non-zero eigenvalue of the $p$ -Laplacian

Sheela Verma

Let $M$ be a closed hypersurface in $R^{n}$ and $Ω$ be a bounded domain such that $M = \partial Ω$ . In this article, we obtain an upper bound for the first non-zero eigenval…

math.DG2018

On Eigenvalue Problems Related to the Laplacian in a Class of Doubly Connected Domains

Sheela Verma

We consider two eigenvalue problems for Laplacian on some specific doubly connected domain. In particular, we study the following two eigenvalue problems. Let $B_{1}$ be an open ball…

Sharp Steklov upper bound for submanifolds of revolution

An isoperimetric inequality for harmonic mean of Steklov eigenvalues in Hyperbolic space

An upper bound for the first nonzero Neumann eigenvalue

Some sharp bounds for Steklov eigenvalues

Upper bound for the first non-zero eigenvalue of the p-Laplacian

On Eigenvalue Problems Related to the Laplacian in a Class of Doubly Connected Domains

Upper bound for the first non-zero eigenvalue of the $p$ -Laplacian