Proves that the ball achieves the maximum Brezis-Marcus constant for fixed inradius in dimensions 2 and ≥4, with explicit sharp constants from Sturm-Liouville eigenvalues and special functions.
, Properties and Applications of the Distance Functions on Open Sets of the Euclidean Space
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A proof of the Avkhadiev-Wirths conjecture on Brezis-Marcus constants
Proves that the ball achieves the maximum Brezis-Marcus constant for fixed inradius in dimensions 2 and ≥4, with explicit sharp constants from Sturm-Liouville eigenvalues and special functions.