5 papers
Sharp bounds for higher mixed Steklov-Robin eigenvalues on domains with holes
Sagar Basak
This article is concerned with mixed Steklov--Robin eigenvalues on bounded domains in , with Lipschitz boundary. Specifically, we consider domains with sy…
On domain monotonicity of Steklov eigenvalues
Sagar Basak, Sheela Verma
In this article, we prove a variant of domain monotonicity property for the Steklov eigenvalues of the Laplacian on strictly star-shaped bounded domains contained in …
Sharp bounds and geometric properties of the first non trivial Steklov Neumann Eigenvalue
Sagar Basak, Gloria Paoli, Rossano Sannipoli +1
In this article, we study the mixed Steklov--Neumann eigenvalue problem on doubly connected domains. First, we show that among all doubly connected domains in of the…
Bounds for higher Steklov and mixed Steklov Neumann eigenvalues on domains with holes
Sagar Basak, Sheela Verma
In this article, we study Steklov eigenvalues and mixed Steklov Neumann eigenvalues on a smooth bounded domain in , , having a spherical hole. We focus on…
Sharp bounds for higher Steklov-Dirichlet eigenvalues on domains with spherical holes
Sagar Basak, Anisa Chorwadwala, Sheela Verma
We consider mixed Steklov-Dirichlet eigenvalue problem on smooth bounded domains in Riemannian manifolds. Under certain symmetry assumptions on multiconnected domains in $\mathbb{R…