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math.SP2026
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…
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…