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@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},
year = {2016},
volume = {449},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a8/}
}
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/
[1] Dzh. Dzhenkins, Odnolistnye funktsii i konformnye otobrazheniya, IL, M., 1962
[2] G. V. Kuz'mina, “Geometric function theory. Jenkins results. The method of modules of curve families”, Zap. nauchn. semin. POMI, 445, 2016, 181–249 | MR
[3] G. V. Kuzmina, “Moduli semeistv krivykh i kvadratichnye differentsialy”, Tr. MIAN SSSR, 139, 1980, 3–241 | MR | Zbl
[4] G. V. Kuzmina, “Metod ekstremalnoi metriki v zadachakh o maksimume proizvedeniya stepenei konformnykh radiusov nenalegayuschikh oblastei pri nalichii svobodnykh parametrov”, Zap. nauchn. semin. POMI, 302, 2003, 52–67 | MR | Zbl
[5] E. G. Emelyanov, “K zadache o maksimume proizvedeniya stepenei konformnykh radiusov nenalegayuschikh oblastei”, Zap. nauchn. semin. POMI, 286, 2002, 103–114 | MR | Zbl
[6] A. Vasil'ev, Moduli of families of curves for conformal and quasiconformal mappings, Lect. Notes Math., 1788, Springer-Verlag, Berlin–New York, 2002 | DOI | MR | Zbl
[7] Ch. Pommerenke, A. Vasil'ev, “Angular derivatives of bounded univalent functions and extremal partitions of the unit disk”, Pacific J. Math., 206:2 (2002), 425–450 | DOI | MR | Zbl
[8] A. Yu. Solynin, “Razbieniya na nenalegayuschie oblasti i ekstremalnye svoistva odnolistnykh otobrazhenii”, Zap. nauchn. semin. POMI, 212, 1994, 139–163 | MR | Zbl
[9] V. N. Dubinin, D. A. Kirillova, “K zadacham ob ekstremalnom razbienii”, Zap. nauchn. semin. POMI, 357, 2008, 54–74 | Zbl
[10] B. E. Levitskii, “Privedennyi $p$-modul i vnutrennii $p$-garmonicheskii radius”, Dokl. AN SSSR, 316:4 (1991), 812–815
[11] W. Wang, “$N$-Capacity, $N$-harmonic radius and $N$-harmonic transplantation”, J. Math. Anal. Appl., 327:1 (2007), 155–174 | DOI | MR | Zbl
[12] C. Bandle, M. Flucher, “Harmonic radius and concentration of energy, hyperbolic radius and Liouvilles equations $\Delta U=0$ and $\Delta U=U^{\frac{n+2}{n-2}}$”, SIAM Review, 38:2 (1996), 191–238 | DOI | MR | Zbl
[13] V. N. Dubinin, E. G. Prilepkina, “Ob ekstremalnom razbienii prostranstvennykh oblastei”, Zap. nauchn. semin. POMI, 254, 1998, 95–107 | MR | Zbl
[14] K. A. Gulyaeva, S. I. Kalmykov, E. G. Prilepkina, “Extremal decomposition problems in the Euclidean space”, Intern. J. Math. Analysis, 9:56 (2015), 2763–2773 | DOI
[15] S. Kalmykov, E. Prilepkina, Extremal decomposition problems for $p$-harmonic radius, Analysis Mathematica (to appear)
[16] Bent Fuglede, “Extremal length and functional completion”, Acta Math., 98:1 (1957), 171–219 | MR | Zbl
[17] V. A. Shlyk, “O ravenstve $p$-emkosti i $p$-modulya”, Sib. mat. zh., 34:6 (1993), 216–221 | MR | Zbl
[18] V. G. Mazya, Prostranstva S. L. Soboleva, L., 1985
[19] V. N. Dubinin, Condenser capacities and symmetrization in geometric function theory, Birkhäuser, Basel, 2014 | MR | Zbl
[20] V. N. Dubinin, “Emkosti kondensatorov, obobscheniya lemm Grëtsha i simmetrizatsiya”, Zap. nauchn. semin. POMI, 337, 2006, 73–100 | MR | Zbl
[21] E. G. Prilepkina, “Teoremy iskazheniya dlya odnolistnykh funktsii v mnogosvyaznykh oblastyakh”, Dalnevost. mat. zh., 9:1–2 (2009), 140–149 | MR
[22] M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Representation of Green's function of the Neumann problem for a multi-dimensional ball”, Complex Variables and Elliptic Equations, 61:1 (2016), 104–123 | DOI | MR | Zbl
[23] M. Vuorinen, Conformal geometry and quasiregular mappings, Lect. Notes Math., 1319, Springer-Verlag, 1988 | DOI | MR | Zbl