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21
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity
Nonlinearity. 2021.
V.34. N5. P.3083-3111. DOI: 10.1088/1361-6544/abe51e
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РИНЦ
OpenAlex
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22
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Antontsev S.
, de Oliveira H.B.
, Khompysh K.
Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior
Asymptotic Analysis. 2021.
V.121. N2. P.125-157. DOI: 10.3233/asy-201597
WOS
Scopus
РИНЦ
OpenAlex
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23
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Antontsev S.N.
, Papin А.А.
, Tokareva M.A.
, Leonova E.I.
, Gridushko E.A.
МОДЕЛИРОВАНИЕ ВОЗНИКНОВЕНИЯ ОПУХОЛЕЙ - II
Известия Алтайского государственного университета / Izvestiya of Altai State University. 2021.
№1(117). С.72-83. DOI: 10.14258/izvasu(2021)1-12
РИНЦ
OpenAlex
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24
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Antontsev S.N.
, Papin A.A.
, Tokareva M.A.
, Leonova E.I.
, Gridushko E.A.
МОДЕЛИРОВАНИЕ ВОЗНИКНОВЕНИЯ И РОСТА ОПУХОЛЕЙ-III
Известия Алтайского государственного университета / Izvestiya of Altai State University. 2021.
№4(120). С.71-80. DOI: 10.14258/izvasu(2021)4-11
РИНЦ
OpenAlex
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25
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
A shock layer arising as the source term collapses in the p(x)-Laplacian equation
Problemy Analiza. 2020.
V.27. N3. P.31-53. DOI: 10.15393/j3.art.2020.8990
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РИНЦ
OpenAlex
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26
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Antontsev S.
, Shmarev S.
On a class of nonlocal evolution equations with the p[u(x,t)]-Laplace operator
Nonlinear Analysis: Real World Applications. 2020.
V.56. P.103165. DOI: 10.1016/j.nonrwa.2020.103165
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РИНЦ
OpenAlex
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27
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Antontsev S.
, Ferreira J.
A nonlinear viscoelastic plate equation with $\vec{p}(x,t)$-Laplace operator: Blow up of solutions with negative initial energy
Nonlinear Analysis: Real World Applications. 2020.
V.59. P.103240. DOI: 10.1016/j.nonrwa.2020.103240
WOS
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РИНЦ
OpenAlex
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28
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Antontsev S.
, Shmarev S.
Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity
Nonlinear Analysis. 2020.
V.195. P.111724. DOI: 10.1016/j.na.2019.111724
WOS
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РИНЦ
OpenAlex
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29
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Regularity and uniqueness of Kelvin-Voigt models for nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2020.
V.1666. N1. 012003
:1-6. DOI: 10.1088/1742-6596/1666/1/012003
Scopus
РИНЦ
OpenAlex
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30
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Antontsev S.
, Shmarev S.
Nonlocal evolution equations with p[u(x, t)]-Laplacian and lower-order terms
Journal of Elliptic and Parabolic Equations. 2020.
V.6. N1. P.211-237. DOI: 10.1007/s41808-020-00065-x
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РИНЦ
OpenAlex
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31
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Антонцев С.Н.
, Папин A.A.
, Токарева М.А.
, Леонова Э.И.
, Гридюшко Е.А.
Моделирование возникновения и роста опухолей - I
Известия АлтГУ. Математика и механика... 2020.
№4 (114). С.70-80. DOI: 10.14258/izvasu(2020)4-11
РИНЦ
OpenAlex
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32
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2019.
V.1268. N1. P.012008. DOI: 10.1088/1742-6596/1268/1/012008
Scopus
РИНЦ
OpenAlex
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33
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Antontsev S.
, Öztürk E.
Well-posedness and long time behavior for p-Laplacian equation with nonlinear boundary condition
Journal of Mathematical Analysis and Applications. 2019.
V.472. N2. P.1604-1630. DOI: 10.1016/j.jmaa.2018.12.011
WOS
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РИНЦ
OpenAlex
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34
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Kelvin–Voigt equations perturbed by anisotropic relaxation, diffusion and damping
Journal of Mathematical Analysis and Applications. 2019.
V.473. N2. P.1122-1154. DOI: 10.1016/j.jmaa.2019.01.011
WOS
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РИНЦ
OpenAlex
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35
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Antontsev S.N.
, Aitzhanov S.E.
Inverse Problem for an Equation with A Nonstandard Growth Condition
Journal of Applied Mechanics and Technical Physics. 2019.
V.60. N2. P.265-277. DOI: 10.1134/s0021894419020081
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РИНЦ
OpenAlex
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36
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Antontsev S.
, Shmarev S.
Higher regularity of solutions of singular parabolic equations with variable nonlinearity
Applicable Analysis. 2019.
V.98. N1-2. P.310-331. DOI: 10.1080/00036811.2017.1382690
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РИНЦ
OpenAlex
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37
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Antonsev S.
, Shmarev S.
, Simsen J.
, Simsen M.
Differential inclusion for the evolution p(x)-laplacianwith memory
Electronic Journal of Differential Equations. 2019.
V.2019. N26. P.1-28.
РИНЦ
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38
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Antontsev S.
, Shmarev S.
On a class of fully nonlinear parabolic equations
Advances in Nonlinear Analysis. 2019.
V.8. N1. P.79-100. DOI: 10.1515/anona-2016-0055
WOS
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РИНЦ
OpenAlex
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39
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids
Communications in Mathematical Sciences. 2019.
V.17. N7. P.1915-1948. DOI: 10.4310/cms.2019.v17.n7.a7
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РИНЦ
OpenAlex
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40
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
Global higher regularity of solutions to singular p(x,t)-parabolic equations
Journal of Mathematical Analysis and Applications. 2018.
V.466. N1. P.238-263. DOI: 10.1016/j.jmaa.2018.05.075
WOS
Scopus
РИНЦ
OpenAlex
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