Research
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.

168,695 papers · 148 categories

Trend · papers per month

count% of corpus
0111 · Aug 202119922001200920172026
3 results for “Campanato”
A Campanato Regularity Theory for Multi-Valued Functions with Applications to Minimal Surface Regularity Theorymath.DG

Extends Campanato theory to multi-valued functions for geometric variational problems.

problem Regularity of multi-valued functions in geometric variational problems.
method Adapting Campanato's ideas to multi-valued functions, proving regularity theorems.
result Established regularity for multi-valued harmonic functions and stationary integral varifolds.
Campanato spacemulti-valued functionsgeometric variational problemsregularity theoryblow-up classes
2021-08-06abs ↗pdf ↗
Improved energy decay estimate for Dir-stationary QQ-valued functions and its applicationsmath.DG

The paper improves energy decay estimates for Dir-stationary Q-valued functions and applies them to Liouville-type theorems and continuity.

problem Improving energy decay estimates for Dir-stationary Q-valued functions.
method Establishing improved decay estimates and applying them to derive Liouville-type theorems and continuity.
result Dir-stationary Q-valued functions exhibit the Lebesgue property and reside in a generalized Campanato-Morrey space.
Dir-stationary Q-valued functionsenergy decay estimatesLiouville-type theoremsLebesgue propertyCampanato-Morrey space
2023-05-22abs ↗pdf ↗
A Classical Elliptic Regularity Approach to Almost Harmonic Maps and Related Systemsmath.AP

Establishes interior regularity results for a broad class of two-dimensional nonlinear elliptic systems using a unified abstract framework.

problem Interior regularity results for two-dimensional nonlinear elliptic systems
method A unified abstract framework built around a Campanato-type discrete iteration scheme coupled with a Caccioppoli-type estimate
result Local Hölder continuity of the map u\boldsymbol{u} is established, with an explicit Hölder exponent that optimally attains the classical Morrey--Campanato threshold dictated by the Lebesgue integrability of the source term f\boldsymbol{f}
regularityelliptic systemsHölder continuityCampanatoCaccioppoli
2026-06-21abs ↗pdf ↗