A short note on Schiffer's conjecture for a class of centrally symmetric convex domains in R^2

Mondal, S. ORCID: https://orcid.org/0000-0002-2236-971X (2025) A short note on Schiffer's conjecture for a class of centrally symmetric convex domains in R^2. Journal D’analyse Mathematique. ISSN 1565-8538 doi: 10.1007/s11854-025-0429-5

Abstract/Summary

Let Ω be a bounded centrally symmetric domain in ℝ2 with analytic boundary ∂Ω and center c. Let τ = τ(Ω) be the number of points p on ∂Ω such that the normal line to ∂Ω at p passes through c. We show that if τ < 8 then Ω satisfies Schiffer’s conjecture.

Item Type	Article
URI	https://centaur.reading.ac.uk/id/eprint/122340
Identification Number/DOI	10.1007/s11854-025-0429-5
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer
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