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Parfenov, Anton Igorevich

Statistics Math-Net.Ru
Total publications: 18
Scientific articles: 18
Presentations: 1

Number of views:
This page:829
Abstract pages:5701
Full texts:1559
References:941
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https://www.mathnet.ru/eng/person29949
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/722993

Publications in Math-Net.Ru Citations
2024
1. A. I. Parfenov, “Inductive methods for Hardy inequality on trees”, Ufimsk. Mat. Zh., 16:2 (2024),  37–66  mathnet; Ufa Math. J., 16:2 (2024), 36–65
2023
2. A. I. Parfenov, “Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. II”, Sib. Èlektron. Mat. Izv., 20:1 (2023),  211–244  mathnet 1
2020
3. A. I. Parfenov, “Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I”, Sib. Èlektron. Mat. Izv., 17 (2020),  2142–2189  mathnet 1
2019
4. A. I. Parfenov, “Criterion for the vanishing of the oscillation of the real part of a conformal mapping of strips”, Sib. Èlektron. Mat. Izv., 16 (2019),  1171–1195  mathnet
2018
5. A. I. Parfenov, “Approximate calculation of the defect of a Lipschitz cylindrical condenser”, Sib. Èlektron. Mat. Izv., 15 (2018),  906–926  mathnet 1
2017
6. A. I. Parfenov, “Series in a Lipschitz perturbation of the boundary for solving the Dirichlet problem”, Mat. Tr., 20:1 (2017),  158–200  mathnet  elib; Siberian Adv. Math., 27:4 (2017), 274–304  scopus 2
7. A. I. Parfenov, “Dicrete Hölder estimates for a certain kind of parametrix. II”, Ufimsk. Mat. Zh., 9:2 (2017),  63–93  mathnet  elib; Ufa Math. J., 9:2 (2017), 62–91  isi  scopus 2
2014
8. A. I. Parfenov, “Discrete Hölder estimates for a parametrix variation”, Mat. Tr., 17:1 (2014),  175–201  mathnet  mathscinet; Siberian Adv. Math., 25:3 (2015), 209–229 1
2013
9. A. I. Parfenov, “Error bound for a generalized M. A. Lavrentiev's formula via the norm in a fractional Sobolev space”, Sib. Èlektron. Mat. Izv., 10 (2013),  335–377  mathnet 4
2012
10. A. I. Parfenov, “Weighted a priori estimate in straightenable domains of local Lyapunov-Dini type”, Sib. Èlektron. Mat. Izv., 9 (2012),  65–150  mathnet 6
2011
11. A. I. Parfenov, “A characterization of multipliers in the Hedberg–Netrusov spaces”, Mat. Tr., 14:1 (2011),  158–194  mathnet  mathscinet  elib; Siberian Adv. Math., 22:1 (2012), 13–40 3
2010
12. A. I. Parfenov, “A criterion for straightening a Lipschitz surface in the Lizorkin–Triebel sense. III”, Mat. Tr., 13:2 (2010),  139–178  mathnet  mathscinet; Siberian Adv. Math., 21:2 (2011), 100–129 5
2009
13. A. I. Parfenov, “A criterion for the straightening of a Lipschitz surface in the Lizorkin–Triebel sense. II”, Mat. Tr., 12:2 (2009),  139–159  mathnet  mathscinet; Siberian Adv. Math., 20:3 (2010), 201–216 4
14. A. I. Parfenov, “A criterion for straightening of a Lipschitz surface in the Lizorkin–Triebel sense. I”, Mat. Tr., 12:1 (2009),  144–204  mathnet  mathscinet; Siberian Adv. Math., 20:2 (2010), 83–127 7
2007
15. A. I. Parfenov, “A Discrete Norm on a Lipschitz Surface and the Sobolev Straightening of a Boundary”, Mat. Tr., 10:2 (2007),  163–186  mathnet  mathscinet; Siberian Adv. Math., 18:4 (2008), 258–274 5
16. A. I. Parfënov, “On the existence of a contraction mapping preserving boundary values”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:2 (2007),  65–87  mathnet
2004
17. A. I. Parfenov, “The Ćurgus Condition in Indefinite Sturm–Liouville Problems”, Mat. Tr., 7:1 (2004),  153–188  mathnet  mathscinet  zmath; Siberian Adv. Math., 15:2 (2005), 68–103 6
2003
18. A. I. Parfenov, “On an embedding criterion for interpolation spaces and application to indefinite spectral problems”, Sibirsk. Mat. Zh., 44:4 (2003),  810–819  mathnet  mathscinet  zmath; Siberian Math. J., 44:4 (2003), 638–644  isi 32

Presentations in Math-Net.Ru
1. О некоторых проблемах анализа, связанных с эллиптическими краевыми задачами
A. I. Parfenov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 15, 2019   

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