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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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6 results for “Steklov-type”

Sharp lower bounds for the first eigenvalue of Steklov-type eigenvalue problems on a compact surfacemath.DG

Sharp bounds found for Steklov-type eigenvalues on surfaces.

problem Finding bounds for the first eigenvalue of Steklov-type problems on compact surfaces.

method Proved bounds using Gaussian curvature constraints and properties of geodesic curvature.

result Sharp lower bounds for the first eigenvalue of Steklov-type problems on compact surfaces.

Eigenvalue problems Compact surfaces Steklov-type Geodesic curvature Gaussian curvature

2025-06-26abs ↗pdf ↗

Eigenvalue problems and free boundary minimal surfaces in spherical capsmath.DG

The study finds the optimal metrics for free boundary minimal surfaces in spherical caps.

problem Optimizing metrics for free boundary minimal surfaces in spherical caps.

method Introducing functionals based on eigenvalues of Steklov-type problems and proving maximizers are induced by immersions.

result Maximizing metrics are induced by free boundary minimal immersions in geodesic balls of a round sphere.

Eigenvalue problems Free boundary minimal surfaces Spherical caps Steklov-type problems Optimization

2023-07-25abs ↗pdf ↗

Conformal Geometry and Spectral Bounds on Manifolds with Boundarymath.DG

Upper bounds for Steklov eigenvalues on manifolds with boundary.

problem Investigating upper bounds for the spectrum of the Steklov-type operator on Riemannian manifolds with boundary.

method Extending the Fraser-Schoen estimate to higher Steklov eigenvalues, using relative conformal volume and isoperimetric ratio.

result Established bounds for the Steklov eigenvalues in terms of relative conformal volume and isoperimetric ratio.

Steklov eigenvalues Riemannian manifolds upper bounds relative conformal volume isoperimetric ratio

2026-01-27abs ↗pdf ↗

Second Robin eigenvalue bounds for Schrödinger operators on Riemannian surfacesmath.DG

Upper bounds for second Robin eigenvalue on Riemannian surfaces.

problem Bounding the second Robin eigenvalue of Schrödinger operators on Riemannian surfaces.

method Geometric upper bound via Hersch balancing argument on capped surfaces.

result Sharp geometric restrictions for minimal surfaces in negatively curved manifolds.

Robin eigenvalue Schrödinger operator Riemannian surface Hersch balancing minimal surfaces

2026-01-21abs ↗pdf ↗

Integral Inequalities and Rigidity for

V

-Static-Type Equations on Manifolds with Boundarymath.DG

Study rigidity of geodesic balls on manifolds with boundary.

problem Rigidity of geodesic balls on manifolds with boundary.

method Combining generalized Reilly formula with Steklov-type boundary value problems to derive integral inequalities.

result Characterizations of geodesic balls in space forms.

Riemannian manifolds V-static-type equations integral inequalities rigidity geodesic balls

2026-02-24abs ↗pdf ↗

Brock-type isoperimetric inequality for Steklov eigenvalues of the Witten-Laplacianmath.AP

Paper proves a new isoperimetric inequality for Steklov eigenvalues.

problem Finding a new isoperimetric inequality for Steklov eigenvalues.

method Proving a Brock-type inequality under specific conditions.

result Extension of Brock's classical result to Witten-Laplacian.

isoperimetric inequality Steklov eigenvalues Witten-Laplacian Euclidean space hyperbolic space

2024-04-11abs ↗pdf ↗