On-device research index

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

Trend · papers per month

count % of corpus

4 results for “C0-estimate”

Tian's partial

C^0

-estimate implies Hamilton-Tian's conjecturemath.DG

Paper proves Hamilton-Tian conjecture using partial C0-estimate.

problem Existence of Kähler-Einstein metrics on Fano manifolds.

method Using Liu-Székelyhidi's partial C0-estimate for polarized Kähler metrics with Ricci bounded below.

result Proves Hamilton-Tian conjecture for Kähler-Ricci flow.

Kähler-Ricci flow Hamilton-Tian conjecture C0-estimate Fano manifolds Kähler-Einstein metrics

2020-02-13abs ↗pdf ↗

The Monge-Ampère equation for

(n-1)

-quaternionic PSH functions on a hyperKähler manifoldmath.DG

Proves existence and uniqueness of solutions to a quaternionic Monge-Ampère equation.

problem Solving the quaternionic Monge-Ampère equation for

(n-1)

-quaternionic plurisubharmonic functions on a hyperKähler manifold.

method Proves existence and uniqueness of solutions using a Cherrier-type inequality and

C^1

and

C^2

estimates.

result Obtains smooth solutions to the quaternionic Monge-Ampère equation.

Monge-Ampère equation Quaternionic plurisubharmonic functions HyperKähler manifold Cherrier-type inequality C0 estimate

2023-01-22abs ↗pdf ↗

A Simplification of the Aubin-Yau Proof and an Alternative

C^{0}

Estimate for the Monge-Ampère Equation on Calabi-Yau Manifoldsmath.DG

Simplified proof and new $C^0$ estimate for Kähler-Einstein metrics.

problem Existence of Kähler-Einstein metrics on Calabi-Yau manifolds.

method Alternative

C^0

a priori estimate for the Monge-Ampère equation.

result Established a new uniform bound for the solution of the Monge-Ampère equation.

Kähler-Einstein metrics Calabi-Yau manifolds Monge-Ampère equation C0 estimate Uniform bound

2025-10-01abs ↗pdf ↗

Nodal solutions to Paneitz-type equationsmath.AP

The paper proves the existence of infinitely many nodal solutions to a Paneitz-type equation.

problem Proving the existence of nodal solutions to a specific type of partial differential equation.

method First, a

C^0-

estimate for positive

f

-invariant solutions is proven. Then, the existence of mountain pass solutions with arbitrarily large energy is established.

result The existence of infinitely many nodal solutions to the equation

Δ^2 u -αΔu +βu = u^q

is proven.

nodal solutions Paneitz-type equation partial differential equation isoparametric function mountain pass solutions

2024-03-13abs ↗pdf ↗