Sheela Verma

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20182026

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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…

math.DG2018

Bounds for the first non-zero Steklov eigenvalue

Sheela Verma

Let $Ω$ be a star-shaped bounded domain in $(S^{n}, d s^{2})$ with smooth boundary. In this article, we give a sharp lower bound for the first non-zero eigenvalue of the St…