Pith. sign in

REVIEW 1 cited by

The nonlocal Almgren problem

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.05675 v1 pith:TGA4B6BR submitted 2024-08-11 math.AP math-phmath.DGmath.MP

Emanuel Indrei This is my paper · ORCID
classification math.APmath-phmath.DGmath.MP
keywords nonlocalalmgrenenergyfreepotentialproblemadditionassuming
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In the nonlocal Almgren problem, the goal is to investigate the convexity of a minimizer under a mass constraint via a nonlocal free energy generated with some nonlocal perimeter and convex potential. In the paper, the main result is a quantitative stability theorem for the nonlocal free energy assuming symmetry on the potential. In addition, several results that involve uniqueness, non-existence, and moduli estimates from the theory for crystals are proven also in the nonlocal context.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The one-dimensional equilibrium shape of a crystal

    math-ph 2025-01 conditional novelty 5.0 of 10

    In one dimension, under g(0)=0, g>=0 and convex sub-level sets, every minimizer of the free energy with prescribed mass is an interval and a minimizer always exists.

Pith tools