Extremal decomposition problems for p-harmonic Robin radius

A. S. Afanaseva-Grigoreva ; E. G. Prilepkina

Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 135-143.

Résumé

The theorems on the extremal decomposition of plane domains concerning to the products of Robin's radii are extended to the case of domains in Euclidean space. In some cases, the classical non-overlapping condition is weakened. The proofs are based on the moduli technique for families of curves and dissymmetrization.

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