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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 “n-Laplacian”

Rigidity of weak solutions for anisotropic N-Laplacian equation with Neumann or Robin boundary conditionmath.AP

Paper proves rigidity of weak solutions for anisotropic N-Laplacian equations with Neumann or Robin boundary conditions.

problem Rigidity of weak solutions for anisotropic N-Laplacian equations with boundary conditions.

method Established a key integral inequality involving anisotropic gradient and second fundamental form, proving rigidity under natural monotonicity assumptions.

result All weak solutions to Neumann boundary problems are constant without a priori boundedness assumption.

rigidity weak solutions anisotropic N-Laplacian Neumann boundary Robin boundary

2026-07-23abs ↗pdf ↗

Nonlinear Neumann boundary problems for

n

-Laplacian Liouville equation on a half spacemath.AP

The paper classifies solutions to a Liouville equation on a half-space with a specific boundary condition.

problem Classifying solutions to a Liouville equation with a nonlinear Neumann boundary condition.

method Analyzing the

n

-Laplacian Liouville equation on the half-space

\mathbb{R}^{n}_{+}

with positive nonlinear Neumann boundary condition.

result The classification of solutions extends previous results for

n=2

and

p=n

Liouville equation half-space nonlinear Neumann boundary n-Laplacian classification

2026-02-06abs ↗pdf ↗

Quasilinear Liouville equation on manifolds with nonnegative Ricci curvaturemath.AP

Prove rigidity and classification results for quasilinear Liouville equation on manifolds with nonnegative Ricci curvature.

problem Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature.

method Prove rigidity and classification results for the quasilinear Liouville equation associated with the

n

-Laplacian on complete noncompact Riemannian manifolds with nonnegative Ricci curvature.

result Under a sharp logarithmic lower bound, the ambient manifold must be isometric to the Euclidean space and the solution must be one of the standard bubbles.

quasilinear Liouville equation Ricci curvature rigidity classification Euclidean space

2026-06-12abs ↗pdf ↗

Toward Best Isoperimetric Constants for

(H^1,BMO)

-Normal Conformal Metrics on

\mathbb R^n

n\ge 3

math.DG

The aim of this article is: (a) To establish the existence of the best isoperimetric constants for the $(H^1,BMO)$ -normal conformal metrics $e^{2u}|dx|^2$ on $\mathbb R^n$ , $n\ge 3$ , i.e., the conformal metrics with the Q-curvature orientated conditions $$ (-Δ)^{n/2}u\in H^1(\mathbb R^n) & \ u(x)=\hbox{const.}+\frac{\i…

2008-01-30abs ↗pdf ↗

Multi-View Spectral Clustering with High-Order Optimal Neighborhood Laplacian Matrixcs.LG

Enhances clustering performance with a novel high-order Laplacian matrix.

problem Limited representation capability and insufficient information exploitation in multi-view spectral clustering.

method Proposes a multi-view spectral clustering algorithm that learns a high-order optimal neighborhood Laplacian matrix.

result Improves clustering performance through enhanced representation capacity of the learned optimal Laplacian matrix.

spectral clustering multi-view high-order Laplacian optimal neighborhood clustering performance

2020-08-31abs ↗pdf ↗

Local Index Theorem for Cofinite Hyperbolic Riemann Surfacesmath.DG

Local index theorem for cofinite hyperbolic Riemann surfaces derived from computational perspective.

problem Deriving the local index theorem for cofinite Riemann surfaces.

method Using Ahlfors' variational formulas and projection formulas, deriving integral formulas for variations of determinants.

result Explicit integral formulas for variations of

\log\detΔ_n

and

\log \det N_n

local index theorem cofinite Riemann surfaces Teichmüller space Laplacian holomorphic differentials

2024-01-21abs ↗pdf ↗