Weakly stable solutions of Serrin's problem

Michael Eichmair, Thomas Koerber

arXiv:2608.19986v1 Primary: math.AP

Abstract

We prove that weakly stable solutions of Serrin's problem are compact and therefore round balls.

Disclosure

“e see that Ω is connected. On the use of artificial intelligence (A.I.). None of the arguments employed here have been suggested by or discussed with A.I. tools. The paper does not contain text written by A.I. tools. The authors have used Claude Opus 5 to check the typesetting of this paper. Acknowledgments. This research was funded in whole or in part by the Austrian Science Fund (FWF) [10.55776/PAT1307525, 10.55776/PAT2423724]. 2. Gradien”
PDF page 4

Classification: Formatting or typesetting
Multiplier: 1
Verified: 2026-08-22T17:15:05.745477Z

Structural counts

Pages 16 pdf

Theorems 2 source

Lemmas 14 source

Propositions 2 source

Corollaries 4 source

Definitions 0 source

Displayed equations 111 source

Bibliography entries 0 source

Appendix pages 0 estimated

Count notes

Source counts use the expanded primary TeX file serrin.tex.
Appendix pages include the first PDF page with an explicit Appendix heading through the final page.