Capacities of condencers in geometric function theory.
Main publications:
V. N. Dubinin, E. G. Prilepkina. On variational principles of conformal mappings. Algebra and Anal., 2006, v. 18, N 3, p. 3–26.
D. Karp and E. Prilepkina
"Reduced modulus with free boundary and its applications" //
Preprint 02/2008, Departament de Matematiques, Universitat Autonoma de Barcelona, January 2008, 26 p.
E. G. Prilepkina, A. S. Afanaseva-Grigoreva, “Optimal discrete Neumann energy in a ball and an annulus”, Sib. elektron. matem. izv., 19:1 (2022), 109–119;
E. G. Prilepkina, “On the conformal capacity of a spatial condenser with spherical plates”, Dal'nevost. Mat. Zh., 22:1 (2022), 76–83
2021
4.
Asena Çetinkaya, Dmitrii Karp, Elena Prilepkina, “Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities”, SIGMA, 17 (2021), 98 , 25 pp., arXiv: 2105.05196;
V.N.Dubinin, E.G.Prilepkina, “Optimal Green energy points on the circles in d-space”, Journal of Mathematical Analysis and Applications, 499:2 (2021) (Article 125055)
A. S. Afanaseva-Grigoreva, E. G. Prilepkina, “Extremal decomposition problems for p-harmonic Robin radius”, Dal'nevost. Mat. Zh., 20:2 (2020), 135–143
2018
8.
E. G. Prilepkina, A. S. Afanaseva-Grigoreva, “On the conformal metric of annulus in the n-dimensional Euclidean space”, Dal'nevost. Mat. Zh., 18:2 (2018), 233–241
2017
9.
E. G. Prilepkina, “On the $n$-harmonic radius of domains in the n-dimensional Euclidean space”, Dal'nevost. Mat. Zh., 17:2 (2017), 246–256
2018
10.
J. Math. Sci. (N. Y.), 234:5 (2018), 680–696
2016
11.
Dmitrii Karp, Elena Prilepkina, “Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring”, SIGMA, 12 (2016), 52 , 23 pp., arXiv: 1602.07375;
S. I. Kalmykov, E. G. Prilepkina, “On the $p$-harmonic Robin radius in the Euclidean space”, J. Math. Sci. (N. Y.), 225:6 (2017), 969–979
2015
13.
E. G. Prilepkina, “On quadratic forms generated by the Neumann functions”, J. Math. Sci. (N. Y.), 207:6 (2015), 909–922
2014
14.
E. G. Prilepkina, “Transfinite diameter with respect to Neumann function”, J. Math. Sci. (N. Y.), 200:5 (2014), 605–613
2011
15.
E. G. Prilepkina, “On composition principles for reduced moduli”, Siberian Math. J., 52:6 (2011), 1079–1091
2010
16.
V. N. Dubinin, E. G. Prilepkina, “Distortion theorems for univalent meromorphic functions on an annulus”, Siberian Math. J., 51:2 (2010), 229–243
2009
17.
E. G. Prilepkina, “Distortion theorems for univalent functions in multiply-connected domains”, Dal'nevost. Mat. Zh., 9:1-2 (2009), 140–149
2007
18.
V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, St. Petersburg Math. J., 18:3 (2007), 373–389
2005
19.
V. N. Dubinin, E. G. Prilepkina, “On the preservation of generalized reduced modulus under some geometric transformations of domains in the plane”, Dal'nevost. Mat. Zh., 6:1-2 (2005), 39–56
2004
20.
E. V. Kostyuchenko, E. G. Prilepkina, “About polarization with respect to hypersphere”, Dal'nevost. Mat. Zh., 5:1 (2004), 22–29
2002
21.
V. N. Dubinin, E. G. Prilepkina, “On the uniqueness theorems for the transformations of sets and condensers in the plane”, Dal'nevost. Mat. Zh., 3:2 (2002), 137–149
1999
22.
E. G. Akhmedzyanova, V. N. Dubinin, “Radial transformations of sets, and inequalities for the transfinite diameter”, Russian Math. (Iz. VUZ), 43:4 (1999), 1–6
2001
23.
V. N. Dubinin, E. G. Prilepkina, “On extremal decomposition of $n$-space domains”, J. Math. Sci. (New York), 105:4 (2001), 2180–2189
2023
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