Regularity of the free boundary for the two-phase Bernoulli problem

Bozhidar Velichkov; Guido De Philippis; Luca Spolaor

REVIEW

Regularity of the free boundary for the two-phase Bernoulli 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 1911.02165 v2 pith:FR3VWLVM submitted 2019-11-06 math.AP

Guido De Philippis , Luca Spolaor , Bozhidar Velichkov This is my paper

classification math.AP

keywords problemregularitybernoulliboundaryfreeminimizerstwo-phaseanalysis

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem, completing the analysis started by Alt, Caffarelli and Friedman in the 80s. As a consequence, we also show regularity of minimizers of the multiphase spectral optimization problem for the principal eigenvalue of the Dirichlet Laplacian.

Discussion (0). Sign in to comment.

Pith tools