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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.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…
math.SP2023
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…