3 papers
math.SP2026
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 …
math.AP2026
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…
math.SP2024
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…