Complex Variables and Elliptic Equations, Volume 66, Issue 6-7 (2021)

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Complex Variables and Elliptic Equations, Volume 66, Issue 6-7 (2021)

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Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Original Articles

Article
Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups
Vagif S. Guliyev
Pages: 893-909
Published online: 28 Jul 2020
AbstractforCommutators of the fractional maximal function in generalized Morrey spaces on Carnot groups | Full Text | References | PDF (1.2 MB) | EPUB
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Article
Loaded differential equations and linear inverse problems for elliptic equations
A.I. Kozhanov & T. N. Shipina
Pages: 910-928
Published online: 25 Aug 2020
AbstractforLoaded differential equations and linear inverse problems for elliptic equations | Full Text | References | PDF (1.2 MB) | EPUB
  • 118 Views
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Article
MHD model of incompressible polymeric fluid. Linear instability of the resting state
A. M. Blokhin & D. L. Tkachev
Pages: 929-944
Published online: 17 Aug 2020
AbstractforMHD model of incompressible polymeric fluid. Linear instability of the resting state | Full Text | References | PDF (1.2 MB) | EPUB
  • 83 Views
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Article
Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer
Gershon Kresin & Vladimir Maz'ya
Pages: 945-963
Published online: 03 Aug 2020
AbstractforSharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer | Full Text | References | PDF (1.3 MB) | EPUB
  • 46 Views
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Article
On some asymptotic representations of solutions to elliptic equations and their applications
S. G. Pyatkov & L. V. Neustroeva
Pages: 964-987
Published online: 14 Aug 2020
AbstractforOn some asymptotic representations of solutions to elliptic equations and their applications | Full Text | References | PDF (1.7 MB) | EPUB
  • 81 Views
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Article
An iterative real sequence based on and providing a plane parqueting and harmonic Green functions
Heinrich Begehr, Hanxing Lin, Hua Liu & Bibinur Shupeyeva
Pages: 988-1013
Published online: 21 Sep 2020
AbstractforAn iterative real sequence based on and providing a plane parqueting and harmonic Green functions | Full Text | References | PDF (1.8 MB) | EPUB
  • 160 Views
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Article
Stability of the inverse problem for Dini continuous conductivities in the plane
Robert McOwen & Bindu K. Veetel
Pages: 1014-1036
Published online: 13 Nov 2020
AbstractforStability of the inverse problem for Dini continuous conductivities in the plane | Full Text | References | PDF (1.6 MB) | EPUB
  • 30 Views
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Article
Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion
S. K. Vodopyanov
Pages: 1037-1072
Published online: 10 Nov 2020
AbstractforModuli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion | Full Text | References | PDF (2.4 MB) | EPUB
  • 67 Views
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Article
Solvability of nonlinear problem for some second-order nonstrongly elliptic system
Lyailya Zhapsarbayeva & Kordan Ospanov
Pages: 1073-1083
Published online: 28 Oct 2020
AbstractforSolvability of nonlinear problem for some second-order nonstrongly elliptic system | Full Text | References | PDF (1,007.4 KB) | EPUB
  • 62 Views
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Article
Solvability of the Cauchy problem for a pseudohyperbolic system
L. N. Bondar & G. V. Demidenko
Pages: 1084-1099
Published online: 16 Oct 2020
AbstractforSolvability of the Cauchy problem for a pseudohyperbolic system | Full Text | References | PDF (1.2 MB) | EPUB
  • 66 Views
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Article
On factorisation of a class of Schrödinger operators
Ari Laptev
Pages: 1100-1107
Published online: 27 Oct 2020
AbstractforOn factorisation of a class of Schrödinger operators | Full Text | References | PDF (603.8 KB) | EPUB
  • 157 Views
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Article
Semilinear fractional-order evolution equations of Sobolev type in the sectorial case
Vladimir E. Fedorov & Anna S. Avilovich
Pages: 1108-1121
Published online: 15 Dec 2020
AbstractforSemilinear fractional-order evolution equations of Sobolev type in the sectorial case | Full Text | References | PDF (1,011.9 KB) | EPUB
  • 86 Views
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Article
On the stability phenomenon of the Navier-Stokes type equations for elliptic complexes
Andrei Parfenov & Alexander Shlapunov
Pages: 1122-1150
Published online: 03 Nov 2020
AbstractforOn the stability phenomenon of the Navier-Stokes type equations for elliptic complexes | Full Text | References | PDF (1.9 MB) | EPUB
  • 36 Views
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Article
Positive solution for a boundary singular semilinear equation with Hardy–Sobolev exponent
Ali Rimouche
Pages: 1151-1161
Published online: 06 Jan 2021
AbstractforPositive solution for a boundary singular semilinear equation with Hardy–Sobolev exponent | Full Text | References | PDF (887.8 KB) | EPUB
  • 112 Views
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Editorial
An overview of some works of S.L. Sobolev
H. Begehr, G. V. Demidenko & I. I. Matveeva
Pages: 1162-1181
Published online: 18 Feb 2021
AbstractforAn overview of some works of S.L. Sobolev | Full Text | References | PDF (2.1 MB) | EPUB
  • 1285 Views
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Free Access
Article
On a double phase problem with sublinear and superlinear nonlinearities
Ke-Qi Wang & Qing-Mei Zhou
Pages: 1182-1193
Published online: 10 Feb 2021
AbstractforOn a double phase problem with sublinear and superlinear nonlinearities | Full Text | References | PDF (859.5 KB) | EPUB
  • 138 Views
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Article
On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator
Baltabek Kanguzhin & Ziganur Fazullin
Pages: 1194-1208
Published online: 16 Feb 2021
AbstractforOn the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator | Full Text | References | PDF (1 MB) | EPUB
  • 65 Views
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Note

Note
Publisher's note
Pages: 1209-1210
Published online: 23 Jun 2021
CitationforPublisher's note | Full Text | PDF (175.7 KB) | EPUB
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Free Access

Correction

Correction
Correction
Page: 1211
Published online: 23 Jun 2021
CitationforCorrection | Full Text | PDF (103.1 KB) | EPUB
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Correction
Correction
Page: 1212
Published online: 23 Jun 2021
CitationforCorrection | Full Text | PDF (102.9 KB) | EPUB
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