5 papers
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…
On Eigenvalues of Logarithmic Potential Operator in the Hyperbolic Space
Jiya Rose Johnson, Sheela Verma
Let be a bounded open set in the Poincaré hyperbolic disk, . In this article, we consider the hyperbolic logarithmic potential operator $\mathcal{L}_h : L^2(Ω) \…
Sharp bounds and monotonicity results for Neumann eigenvalues on graphs
Ashmita Singh, Sheela Verma
In this article, we study sharp bounds for the Neumann eigenvalues of the Laplace operator on graphs. We first establish both lower and upper bounds for the second Neumann eigenval…
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…