Geodesic
On the $p$-harmonic Robin radius in the Euclidean space
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 196-213

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For $p>1$, the notion of the $p$-harmonic Robin radius is introduced in the space $\mathbb R^n$, $n\geq2$. If the corresponding part of the boundary degenerates the Robin–Neumann radius is considered. The monotonicity of the $p$-harmonic Robin radius under some deformations of a domain is proved. In the Euclidean space, some extremal decomposition problems are solved. The definitions and proofs are based on the technique of modules of curve families. 
@article{ZNSL_2016_449_a8,
     author = {S. I. Kalmykov and E. G. Prilepkina},
     title = {On the $p$-harmonic {Robin} radius in the {Euclidean} space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {196--213},
     publisher = {mathdoc},
     volume = {449},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a8/}
}
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S. I. Kalmykov; E. G. Prilepkina. On the $p$-harmonic Robin radius in the Euclidean space. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 196-213. http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a8/