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Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 173-180 (2022).

MSC: 30C65

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Cheng, Tao; Yang, Shanshuang

Quasiconformality to quasisymmetry via weak \((L,M)\)-quasisymmetry. (English) Zbl 1523.30032

Ann. Fenn. Math. 47, No. 2, 1131-1157 (2022).

MSC: 30C65

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Klishchuk, Bogdan A.

On power-law behavior of some mapping class at infinity. (English. Ukrainian original) Zbl 1509.30016

J. Math. Sci., New York 268, No. 2, 192-198 (2022); translation from Ukr. Mat. Visn. 19, No. 3, 373-381 (2022).

MSC: 30C85 31A15

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Sevost’yanov, Evgeny O.

The inverse Poletsky inequality in one class of mappings. (English. Ukrainian original) Zbl 1509.30014

J. Math. Sci., New York 264, No. 4, 455-470 (2022); translation from Ukr. Mat. Visn. 19, No. 2, 254-274 (2022).

MSC: 30C65

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

On the \(p\)-harmonic radii of circular sectors. (English) Zbl 1495.31011

Probl. Anal. Issues Anal. 10(28), No. 3, 3-14 (2021).

MSC: 31B15

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Vodopyanov, S. K.

On the equivalence of two approaches to problems of quasiconformal analysis. (English. Russian original) Zbl 1482.30065

Sib. Math. J. 62, No. 6, 1010-1025 (2021); translation from Sib. Mat. Zh. 62, No. 2, 1252-1270 (2021).

MSC: 30C65

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

Extremal decomposition problems for \(p\)-harmonic Robin radius. (Russian. English summary) Zbl 1460.31025

Dal’nevost. Mat. Zh. 20, No. 2, 135-143 (2020).

MSC: 31C15 31B15

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Ilyutko, Denis P.; Sevost’yanov, Evgeniĭ A.

Boundary behaviour of open discrete mappings on Riemannian manifolds. II. (English. Russian original) Zbl 1467.30015

Sb. Math. 211, No. 4, 539-582 (2020); translation from Mat. Sb. 211, No. 4, 63-111 (2020).

Reviewer: Xiangdong Xie (Bowling Green)

MSC: 30C65 30L10 58C07

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Xiao, Jie

Geometrical logarithmic capacitance. (English) Zbl 1436.31010

Adv. Math. 365, Article ID 107048, 53 p. (2020).

MSC: 31A15 35J92 35J93 53C45

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Klishchuk, B. A.; Salimov, R. R.

Lower bounds for the volume of the image of a ball. (English. Russian original) Zbl 1435.30078

Ukr. Math. J. 71, No. 6, 883-895 (2019); translation from Ukr. Mat. Zh. 71, No. 6, 774-785 (2019).

MSC: 30C65

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Kopylov, Anatoliĭ Pavlovich

Unique determination of conformal type for domains. (Russian. English summary) Zbl 1420.53053

Sib. Èlektron. Mat. Izv. 16, 692-708 (2019).

MSC: 53C24 30C65

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Levitskii, B. E.

Reduced \(p\)-modulus, \(p\)-harmonic radius and \(p\)-harmonic Green’s mappings. (English) Zbl 1428.31008

Probl. Anal. Issues Anal. 7(25), No. 2, 82-97 (2018).

MSC: 31B15 30C65 58E20

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Salimov, R. R.; Klishchuk, B. A.

An extremal problem for volume functionals. (English) Zbl 1414.30027

Mat. Stud. 50, No. 1, 36-43 (2018).

MSC: 30C65

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Salimov, R. R.; Klishchuk, B. A.

Extremal problem for the area of the image of a disk. (English. Russian original) Zbl 1404.30029

J. Math. Sci., New York 234, No. 3, 373-380 (2018); translation from Zap. Nauchn. Semin. POMI 456, 160-171 (2017).

MSC: 30C62 30C99

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Ilyutko, D. P.; Sevost’yanov, E. A.

Boundary behaviour of open discrete mappings on Riemannian manifolds. (English. Russian original) Zbl 1416.30013

Sb. Math. 209, No. 5, 605-651 (2018); translation from Mat. Sb. 209, No. 5, 3-53 (2018).

MSC: 30C65 30L10

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Kovtonyuk, Denis; Petkov, Igor; Ryazanova, Vladimir

Prime ends in theory of mappings with finite distortion in the plane. (English) Zbl 1488.30157

Filomat 31, No. 5, 1349-1366 (2017).

MSC: 30C62 30C65 30D40 37E30 35A16 35A23 35J67 35J70 35J75

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Klishchuk, Bogdan Anatol’evich; Salimov, Ruslan Radikovich

Lower bounds for the area of the image of a circle. (Russian. English summary) Zbl 1463.30105

Ufim. Mat. Zh. 9, No. 2, 56-62 (2017); translation in Ufa Math. J. 9, No. 2, 55-61 (2017).

MSC: 30C65

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Full Text: DOI MNR

Salimov, Ruslan Radikovich

On the power order of growth of lower \(Q\)-homeomorphisms. (Russian. English summary) Zbl 1451.30047

Vladikavkaz. Mat. Zh. 19, No. 2, 36-48 (2017).

MSC: 30C65 30C62 46E35

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Sevost’yanov, E. A.

On the local behavior of open discrete mappings from the Orlicz-Sobolev classes. (English. Russian original) Zbl 1499.30215

Ukr. Math. J. 68, No. 9, 1447-1465 (2017); translation from Ukr. Mat. Zh. 68, No. 9, 1259-1272 (2016).

MSC: 30C65

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Golberg, Anatoly; Salimov, Ruslan

Differentiability of ring homeomorphisms with controlled \(p\)-module. (English) Zbl 1400.30041

Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VII. Proceedings of the 7th international conference on complex analysis and dynamical systems (CA&DS VII), Nahariya, Israel, May 10–15, 2015. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-2961-4/pbk; 978-1-4704-4256-9/ebook). Contemporary Mathematics 699. Israel Mathematical Conference Proceedings, 121-127 (2017).

MSC: 30C65 31B15 26B35

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Prilepkina, E. G.

On the \(n\)-harmonic radius of domains in the \(\mathrm{n}\)-dimensional Euclidean space. (Russian. English summary) Zbl 1394.31004

Dal’nevost. Mat. Zh. 17, No. 2, 246-256 (2017).

MSC: 31B99 30C35

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Kalmykov, S.; Prilepkina, E.

Extremal decomposition problems for \(p\)-harmonic radius. (English) Zbl 1399.31002

Anal. Math. 43, No. 1, 49-65 (2017).

MSC: 31A15 31C45

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Brakalova, Melkana; Markina, Irina; Vasil’ev, Alexander

Extremal functions for modules of systems of measures. (English) Zbl 1387.30026

J. Anal. Math. 133, 335-359 (2017).

Reviewer: Agnieszka Wisniowska-Wajnryb (Rzeszow)

MSC: 30C75

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Kalmykov, Sergey I.; Prilepkina, Elena G.

On the \(p\)-harmonic Robin radius in the Euclidean space. (English. Russian original) Zbl 1379.31010

J. Math. Sci., New York 225, No. 6, 969-979 (2017); translation from Zap. Nauchn. Semin. POMI 449, 196-213 (2016).

MSC: 31B15

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Dymchenko, Yu. V.

Equality of the capacity and module of a condenser on a sub-Finsler space. (English. Russian original) Zbl 1380.53036

J. Math. Sci., New York 225, No. 6, 883-892 (2017); translation from Zap. Nauchn. Semin. POMI 449, 69-83 (2016).

MSC: 53C17 53B40

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Kovtonyuk, D.; Petkov, I.; Ryazanov, V.

On the boundary behavior of mappings with finite distortion in the plane. (English) Zbl 1369.30019

Lobachevskii J. Math. 38, No. 2, 290-306 (2017).

MSC: 30C62

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Kopylov, A. P.

On unique determination of conformal type for domains in Euclidean spaces. (English) Zbl 1369.30020

Lobachevskii J. Math. 38, No. 2, 280-289 (2017).

MSC: 30C65 30C70

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Sevost’yanov, Evgeny Aleksandrovich; Salimov, Ruslan Radikovich; Petrov, Evgenii Aleksandrovich

On the removal of singularities of the Orlicz-Sobolev classes. (English. Russian original) Zbl 1369.30022

J. Math. Sci., New York 222, No. 6, 723-740 (2017); translation from Ukr. Mat. Visn. 13, No. 3, 324-349 (2016).

MSC: 30C65

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Cheng, Tao; Yang, Shanshuang

Extremal function for capacity and estimates of QED constants in \(\mathbb{R}^n\). (English) Zbl 1359.31005

Adv. Math. 306, 929-957 (2017).

Reviewer: Marius Ghergu (Dublin)

MSC: 31B15

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Sevost’yanov, E. A.

On the removability of isolated singularities of Orlicz-Sobolev classes with branching. (English. Russian original) Zbl 1498.30019

Ukr. Math. J. 68, No. 5, 777-790 (2016); translation from Ukr. Mat. Zh. 68, No. 5, 683-693 (2016).

MSC: 30C65

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Brakalova, M.; Markina, I.; Vasil’ev, A.

Modules of systems of measures on polarizable Carnot groups. (English) Zbl 1367.30042

Ark. Mat. 54, No. 2, 371-401 (2016).

Reviewer: Matti Vuorinen (Turku)

MSC: 30L10 30C65

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Salimov, Ruslan Radikovich

The lower \(Q\)-homeomorphisms relative to a \(p\)-modulus. (English. Ukrainian original) Zbl 1357.30016

J. Math. Sci., New York 218, No. 1, 47-68 (2016); translation from Ukr. Mat. Visn. 12, No. 4, 484-510 (2015).

Reviewer: Zbigniew Grande (Bydgoszcz)

MSC: 30C65

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Kovtonyuk, D. A.; Ryazanov, V. I.

Prime ends and Orlicz-Sobolev classes. (English. Russian original) Zbl 1352.30023

St. Petersbg. Math. J. 27, No. 5, 765-788 (2016); translation from Algebra Anal. 27, No. 5, 81-116 (2015).

MSC: 30C65

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Salimov, Ruslan Radikovich

On finite Lipschitz Orlicz-Sobolev classes. (Russian. English summary) Zbl 1471.46026

Vladikavkaz. Mat. Zh. 17, No. 1, 64-77 (2015).

MSC: 46E30 46E35

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Kovtonyuk, D. A.; Ryazanov, V. I.

On the theory of prime ends for space mappings. (English. Russian original) Zbl 1351.30007

Ukr. Math. J. 67, No. 4, 528-541 (2015); translation from Ukr. Mat. Zh. 67, No. 4, 467-479 (2015).

MSC: 30C65

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Salimov, R. R.

Lower estimates for \(p\)-moduli and Sobolev class mappings. (English. Russian original) Zbl 1323.30031

St. Petersbg. Math. J. 26, No. 6, 965-984 (2015); translation from Algebra Anal. 26, No. 6, 143-171 (2014).

MSC: 30C62 46E35

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Kovtonyuk, D. A.; Ryazanov, V. I.; Salimov, R. R.; Sevost’yanov, E. A.

Toward the theory of Orlicz-Sobolev classes. (English. Russian original) Zbl 1318.46022

St. Petersbg. Math. J. 25, No. 6, 929-963 (2014); translation from Algebra Anal. 25, No. 6, 50-102 (2013).

MSC: 46E35 26B10

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Salimov, Ruslan R.

To a theory of ring \(Q\)-homeomorphisms with respect to a \(p\)-modulus. (English. Russian original) Zbl 1303.30021

J. Math. Sci., New York 196, No. 5, 679-692 (2014); translation from Ukr. Mat. Visn. 10, No. 3, 379-396 (2013).

Reviewer: Olli Martio (Helsinki)

MSC: 30C65 30C62 30C75

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Golberg, Anatoly; Salimov, Ruslan

Logarithmic Hölder continuity of ring homeomorphisms with controlled \(p\)-module. (English) Zbl 1293.30049

Complex Var. Elliptic Equ. 59, No. 1, 91-98 (2014).

MSC: 30C65 31B15

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Salimov, R. R.

One property of ring \(Q\)-homeomorphisms with respect to a \(p\)-module. (English. Ukrainian original) Zbl 1285.30010

Ukr. Math. J. 65, No. 5, 806-813 (2013); translation from Ukr. Mat. Zh. 65, No. 5, 728-733 (2013).

MSC: 30C65

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Salimov, R. R.

Estimation of the measure of the image of the ball. (English. Russian original) Zbl 1279.30040

Sib. Math. J. 53, No. 4, 739-747 (2012); translation from Sib. Mat. Zh. 53, No. 4, 920-930 (2012).

Reviewer: Yuming Chu (Zhejiang)

MSC: 30C65

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Gutlyanskiĭ, Vladimir; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard

On recent advances in the Beltrami equations. (English. Ukrainian original) Zbl 1280.30009

J. Math. Sci., New York 175, No. 4, 413-449 (2011); translation from Ukr. Mat. Visn. 7, No. 4, 467-515 (2010).

MSC: 30C62 30-02

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Kovtonyuk, D. A.; Salimov, R. R.

Asymptotic behavior of generalized quasiisometries at a point. (English. Russian original) Zbl 1248.30008

Ukr. Math. J. 63, No. 4, 555-563 (2011); translation from Ukr. Mat. Zh. 63, No. 4, 481-488 (2011).

Reviewer: Vesna Manojlovic (Belgrade)

MSC: 30C65

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Dymchenko, Yu. V.

Equality of the capacity and the modulus of a condenser in Finsler spaces. (English. Russian original) Zbl 1184.53076

Math. Notes 85, No. 4, 566-573 (2009); translation from Mat. Zametki 85, No. 4, 594-602 (2009).

Reviewer: Hideo Shimada (Sapporo)

MSC: 53C60 31B15

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Markina, Irina

\(p\)-module of vector measures in domains with intrinsic metric on Carnot groups. (English) Zbl 1069.31003

Tohoku Math. J., II. Ser. 56, No. 4, 553-569 (2004).

Reviewer: Lubomira Softova (Bari)

MSC: 31C15 22E30 43A80 35H20

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Shlyk, V. A.

Uniqueness of the extremal function for the \(p\)-capacity of a condenser. (English. Russian original) Zbl 0898.30018

J. Math. Sci., New York 89, No. 1, 1072-1077 (1998); translation from Zap. Nauchn. Semin. POMI 226, 228-234 (1996).

MSC: 30C70 31B15

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Found 56 Documents (Results 1–56)

On exponential asymptotics of ring \(Q\)-homeomorphisms at infinity. (English. Ukrainian original) Zbl 07906809

CNED sets: countably negligible for extremal distances. (English) Zbl 1543.30065

On direct and inverse Poletsky inequalities with a tangential dilatation. (English) Zbl 1543.30066

Quasi-invariance of modulus and quasisymmetry of weakly (L,M)-quasisymmetric maps in metric spaces. (English) Zbl 1535.30055

On the distortion of the disk image diameter. (English. Ukrainian original) Zbl 1536.30035

The boundary behavior of \(\mathcal{Q}_{p,q}\)-homeomorphisms. (English) Zbl 1529.30028

On distortions of the transfinite diameter of disk image. (English. Ukrainian original) Zbl 1530.30028

On the asymptotic behavior at infinity of one mapping class. (English) Zbl 07740339

On the behavior of one class of homeomorphisms at infinity. (English. Ukrainian original) Zbl 1515.30063

On the boundary behavior of weak \((p, q)\)-quasiconformal mappings. (English) Zbl 1515.30062

On the behavior at infinity of one class of homeomorphisms. (English) Zbl 1542.30016

Quasiconformality to quasisymmetry via weak \((L,M)\)-quasisymmetry. (English) Zbl 1523.30032

On power-law behavior of some mapping class at infinity. (English. Ukrainian original) Zbl 1509.30016

The inverse Poletsky inequality in one class of mappings. (English. Ukrainian original) Zbl 1509.30014

On the \(p\)-harmonic radii of circular sectors. (English) Zbl 1495.31011

On the equivalence of two approaches to problems of quasiconformal analysis. (English. Russian original) Zbl 1482.30065

Extremal decomposition problems for \(p\)-harmonic Robin radius. (Russian. English summary) Zbl 1460.31025

Boundary behaviour of open discrete mappings on Riemannian manifolds. II. (English. Russian original) Zbl 1467.30015

Geometrical logarithmic capacitance. (English) Zbl 1436.31010

Lower bounds for the volume of the image of a ball. (English. Russian original) Zbl 1435.30078

Unique determination of conformal type for domains. (Russian. English summary) Zbl 1420.53053

Reduced \(p\)-modulus, \(p\)-harmonic radius and \(p\)-harmonic Green’s mappings. (English) Zbl 1428.31008

An extremal problem for volume functionals. (English) Zbl 1414.30027

Extremal problem for the area of the image of a disk. (English. Russian original) Zbl 1404.30029

Boundary behaviour of open discrete mappings on Riemannian manifolds. (English. Russian original) Zbl 1416.30013

Prime ends in theory of mappings with finite distortion in the plane. (English) Zbl 1488.30157

Lower bounds for the area of the image of a circle. (Russian. English summary) Zbl 1463.30105

On the power order of growth of lower \(Q\)-homeomorphisms. (Russian. English summary) Zbl 1451.30047

On the local behavior of open discrete mappings from the Orlicz-Sobolev classes. (English. Russian original) Zbl 1499.30215

Differentiability of ring homeomorphisms with controlled \(p\)-module. (English) Zbl 1400.30041

On the \(n\)-harmonic radius of domains in the \(\mathrm{n}\)-dimensional Euclidean space. (Russian. English summary) Zbl 1394.31004

Extremal decomposition problems for \(p\)-harmonic radius. (English) Zbl 1399.31002

Extremal functions for modules of systems of measures. (English) Zbl 1387.30026

On the \(p\)-harmonic Robin radius in the Euclidean space. (English. Russian original) Zbl 1379.31010

Equality of the capacity and module of a condenser on a sub-Finsler space. (English. Russian original) Zbl 1380.53036

On the boundary behavior of mappings with finite distortion in the plane. (English) Zbl 1369.30019

On unique determination of conformal type for domains in Euclidean spaces. (English) Zbl 1369.30020

On the removal of singularities of the Orlicz-Sobolev classes. (English. Russian original) Zbl 1369.30022

Extremal function for capacity and estimates of QED constants in \(\mathbb{R}^n\). (English) Zbl 1359.31005

On the removability of isolated singularities of Orlicz-Sobolev classes with branching. (English. Russian original) Zbl 1498.30019

Modules of systems of measures on polarizable Carnot groups. (English) Zbl 1367.30042

The lower \(Q\)-homeomorphisms relative to a \(p\)-modulus. (English. Ukrainian original) Zbl 1357.30016

Prime ends and Orlicz-Sobolev classes. (English. Russian original) Zbl 1352.30023

On finite Lipschitz Orlicz-Sobolev classes. (Russian. English summary) Zbl 1471.46026

On the theory of prime ends for space mappings. (English. Russian original) Zbl 1351.30007

Lower estimates for \(p\)-moduli and Sobolev class mappings. (English. Russian original) Zbl 1323.30031

Toward the theory of Orlicz-Sobolev classes. (English. Russian original) Zbl 1318.46022

To a theory of ring \(Q\)-homeomorphisms with respect to a \(p\)-modulus. (English. Russian original) Zbl 1303.30021

Logarithmic Hölder continuity of ring homeomorphisms with controlled \(p\)-module. (English) Zbl 1293.30049

One property of ring \(Q\)-homeomorphisms with respect to a \(p\)-module. (English. Ukrainian original) Zbl 1285.30010

Estimation of the measure of the image of the ball. (English. Russian original) Zbl 1279.30040

On recent advances in the Beltrami equations. (English. Ukrainian original) Zbl 1280.30009

Asymptotic behavior of generalized quasiisometries at a point. (English. Russian original) Zbl 1248.30008

Equality of the capacity and the modulus of a condenser in Finsler spaces. (English. Russian original) Zbl 1184.53076

\(p\)-module of vector measures in domains with intrinsic metric on Carnot groups. (English) Zbl 1069.31003

Uniqueness of the extremal function for the \(p\)-capacity of a condenser. (English. Russian original) Zbl 0898.30018

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