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4 results for “Steklov-Dirichlet”

Shape monotonicity of the first Steklov-Dirichlet eigenvalue on eccentric annulimath.AP

The paper examines how the first Steklov-Dirichlet eigenvalue changes with the distance between two concentric circles.

problem Investigating the monotonicity of the first Steklov-Dirichlet eigenvalue on eccentric annuli.

method The approach involves showing differentiability, deriving integral expressions for the derivative, and using variational formulations to find upper and lower bounds.

result The paper proves the monotonicity of the first Steklov-Dirichlet eigenvalue on eccentric annuli with respect to the distance between the centers of the inner and outer boundaries.

Eigenvalue Monotonicity Steklov-Dirichlet Annuli Distance

2020-07-17abs ↗pdf ↗

A shape optimization problem for the first mixed Steklov-Dirichlet eigenvaluemath.SP

Optimizing shapes for a specific eigenvalue problem involving two balls.

problem Optimizing shapes for the first mixed Steklov-Dirichlet eigenvalue.

method Geometric proof based on Newton's shell theorem.

result Geometric insight into eigenvalue optimization.

shape optimization eigenvalues balls homogeneous space Newton's shell theorem

2019-09-14abs ↗pdf ↗

Biharmonic Steklov problems with Neumann boundary conditions and spectral inequalities on differential formsmath.DG

Study on biharmonic Steklov problems with Neumann boundary conditions and eigenvalue estimates.

problem Biharmonic Steklov problems with Neumann boundary conditions.

method Introduced a biharmonic Steklov problem and proved its well-posedness. Established eigenvalue estimates using Kuttler-Sigillito inequalities.

result Eigenvalue estimates for the biharmonic Steklov problem with Neumann boundary conditions.

biharmonic Steklov problems Neumann boundary conditions eigenvalue estimates Kuttler-Sigillito inequalities

2025-07-07abs ↗pdf ↗

Tubes and Steklov eigenvalues in negatively curved manifoldsmath.DG

Lower bound for Steklov eigenvalues on negatively curved manifolds.

problem Finding a geometric lower bound for the first nonzero Steklov eigenvalue.

method Combining a uniform lower bound for the first eigenvalue of the Steklov-Dirichlet problem and a tubular neighborhood theorem for totally geodesic hypersurfaces.

result A geometric lower bound for the first nonzero Steklov eigenvalue in terms of total and boundary volumes.

Steklov eigenvalues negatively curved manifolds Stein neighborhood geometric lower bound

2023-12-19abs ↗pdf ↗