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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.

168,742 papers · 148 categories

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6 results for “Garding-Dirichlet”

A definitive majorization result for nonlinear operatorsmath.AP

The paper establishes a majorization result for symmetric matrices.

problem Majorization of symmetric matrices under certain conditions.

method Using Garding-Dirichlet operator and properties of

I

-central operators.

result A definitive inequality for symmetric matrices.

symmetric matrices majorization Garding-Dirichlet operator I-central operators

2024-07-07abs ↗pdf ↗

Determinant majorization and the work of Guo-Phong-Tong and Abja-Olivemath.AP

Formula establishes determinant majorization for symmetric matrices.

problem Determining determinant majorization for symmetric matrices.

method Establishes determinant majorization formula for symmetric matrices using invariant Garding-Dirichlet polynomials.

result Formula

F(A)^{1\over N} \geq \det(A)^{1\over n}

for symmetric matrices.

Determinant Majorization Symmetric Matrices Invariant Polynomials Garding-Dirichlet Central Ray Hypothesis

2022-07-04abs ↗pdf ↗

The Dirichlet eigenvalue problems for some concave elliptic Hessian operatorsmath.AP

Study estimates eigenvalues for concave Hessian operators on convex domains.

problem Estimating eigenvalues for concave elliptic Hessian operators.

method Investigates Dirichlet eigenvalue problem for a broad class of concave elliptic Hessian operators.

result Existence and properties of the first nonzero eigenvalue and eigenfunction.

Dirichlet eigenvalue problem concave elliptic Hessian operators Monge-Ampère operator k-Hessian operators p-Monge-Ampère operators

2025-10-19abs ↗pdf ↗

Fully nonlinear prescribed curvature problems on closed manifolds with negative curvaturemath.DG

Solves curvature problems on manifolds with negative curvature.

problem Prescribed curvature problems on closed manifolds with negative curvature.

method Investigates fully nonlinear prescribed curvature problems for modified Schouten tensor on closed Riemannian manifolds with negative curvature.

result Proves solvability of curvature problems under certain conditions.

curvature problems closed manifolds negative curvature fully nonlinear Schouten tensor

2025-10-08abs ↗pdf ↗

Pseudoconvexity for the Special Lagrangian Potential Equationmath.AP

The paper solves pseudo-convexity for special Lagrangian equations, with applications in mirror symmetry.

problem Existence of solutions to the Special Lagrangian Potential Equation.

method Explicitly computing boundary conditions for pseudo-convexity in potential theory.

result Interesting pseudo-convexity results for various related equations, including deformed Hermitian-Yang-Mills and curvature equations.

Special Lagrangian Potential Theory Pseudo-convexity Mirror Symmetry Garding-Dirichlet Polynomial

2020-01-27abs ↗pdf ↗

Alexandrov estimates for polynomial operators by determinant majorizationmath.AP

Estimates for polynomial operators using determinant majorization and subharmonics.

problem Bounding solutions of polynomial operators on Euclidean domains.

method Combines Alexandrov estimate and determinant majorization, using subharmonics and semiconvex approximation.

result Includes classical Alexandrov-Bakelman-Pucci estimate for linear operators.

Alexandrov estimate determinant majorization subharmonics semiconvex approximation elliptic equations

2025-09-13abs ↗pdf ↗