arXiv (OAI Expanded)
open access
Monotonicity formulas in positively curved settings with applications to two-phase free boundary problems
Inspired by the monotonicity formula of Alt, Caffarelli, and Friedman, we consider a natural variant of the ACF functional in positively curved 2-dimensional settings where we integrate over sublevel sets of Green's function rather than disks. We prove sharp almost-monotonicity formulas for our new
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Critical Structure of Axisymmetric Navier--Stokes with Swirl#999253
- On the rigidity of sloped height functions in $d\ge 3$ and non-crossing surfaces#821534
- Single-Stage Causal Incentive Design via Optimal Interventions.#334920
- From entropic constraints to reinforced processes: a probabilistic origin of multiscale measures#1141464
- Official Review · ICLR 2026#787023
Record · ID 1083202
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive