V. G. Maz'ya, Yu. V. Netrusov, S. V. Poborchi, “Boundary values of functions from Sobolev spaces in some non-Lipschitzian domains”, Algebra i Analiz, 11:1 (1999), 141–170; St. Petersburg Math. J., 11:1 (2000), 107

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Algebra i Analiz, 1999, Volume 11, Issue 1, Pages 141–170 (Mi aa1043)

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

Boundary values of functions from Sobolev spaces in some non-Lipschitzian domains

V. G. Maz'ya^a, Yu. V. Netrusov^b, S. V. Poborchi^c

^a Department of Mathematics, Linköping University, Linköping, Sweden
^b Department of Mathematics, King's College, London, United Kingdom
^c St. Petersburg State University, Department of Mathematics and Mechanics

Full-text PDF (1104 kB) Citations (10)

Received: 25.11.1997

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. G. Maz'ya, Yu. V. Netrusov, S. V. Poborchi, “Boundary values of functions from Sobolev spaces in some non-Lipschitzian domains”, Algebra i Analiz, 11:1 (1999), 141–170; St. Petersburg Math. J., 11:1 (2000), 107–128

Citation in format AMSBIB

\Bibitem{MazNetPob99}

\by V.~G.~Maz'ya, Yu.~V.~Netrusov, S.~V.~Poborchi

\paper Boundary values of functions from Sobolev spaces in some non-Lipschitzian domains

\jour Algebra i Analiz

\yr 1999

\vol 11

\issue 1

\pages 141--170

\mathnet{http://mi.mathnet.ru/aa1043}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691083}

\zmath{https://zbmath.org/?q=an:0944.46026}

\transl

\jour St. Petersburg Math. J.

\yr 2000

\vol 11

\issue 1

\pages 107--128

Linking options:

https://www.mathnet.ru/eng/aa1043

https://www.mathnet.ru/eng/aa/v11/i1/p141

This publication is cited in the following 10 articles:

Laurencot Ph., Nik K., Walker Ch., “Energy Minimizers For An Asymptotic Mems Model With Heterogeneous Dielectric Properties”, Calc. Var. Partial Differ. Equ., 61:1 (2022), 16
Laurencot Ph., Nik K., Walker Ch., “Reinforced Limit of a Mems Model With Heterogeneous Dielectric Properties”, Appl. Math. Optim., 84:2 (2021), 1373–1393
Laurencot Ph., Walker Ch., “Shape Derivative of the Dirichlet Energy For a Transmission Problem”, Arch. Ration. Mech. Anal., 237:1 (2020), 447–496
Gol'dshtein V., Ukhlov A., “Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary”, Studia Math., 235:3 (2016), 209–224
M. Yu. Vasil'chik, I. M. Pupyshev, “Boundary behavior of functions from Sobolev classes defined on domains with exterior peak”, Siberian Adv. Math., 24:4 (2014), 261–281
A. I. Tyulenev, “Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains”, Sb. Math., 205:8 (2014), 1133–1159
Tyulenev A.I., “Boundary Values of Functions From Sobolev Spaces With Mockenhaupt Weight on Non-Lipschitz Domains”, Dokl. Math., 89:3 (2014), 338–342
Shvartsman P., “On the boundary values of Sobolev W-p(1)-functions”, Advances in Mathematics, 225:4 (2010), 2162–2221
Zuppa C., “A Compact Trace Theorem for Domains with External Cusps”, Revista de La Union Matematica Argentina, 50:1 (2009), 23–29
Acosta, G, “Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp”, Journal of Mathematical Analysis and Applications, 310:2 (2005), 397

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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