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Shaposhnikova, Tatiana A.

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Author ID: shaposhnikova.tatiana-a Recent zbMATH articles by "Shaposhnikova, Tatiana A."
Published as: Shaposhnikova, T. A.; Shaposhnikova, Tatiana A.; Shaposhnikova, Tatiana; Shaposhnikova, T.
Documents Indexed: 93 Publications since 1984, including 1 Book
Co-Authors: 62 Co-Authors with 80 Joint Publications
2,455 Co-Co-Authors
all top 5

Co-Authors

11 single-authored
21 Podolskii, Alexander V.
21 Zubova, Maria N.
19 Oleĭnik, Ol’ga Arsen’evna
14 Diaz Diaz, Jesus Ildefonso
13 Gómez, Delfina
12 Gómez-Castro, David
9 Pérez, Eugenia
7 Jäger, Willi
4 Neuss-Radu, Maria
3 Chechkin, Gregory Aleksandrovich
3 Kon’kov, Andrej A.
3 Kozlov, Valeriĭ Vasil’evich
3 Radkevich, Evgeniĭ Vladimirovich
3 Rozov, Nikolaĭ Khristovich
3 Sergeev, Igor’ Nikolaevich
3 Vorob’ev, A. Yu.
2 Astashova, Irina Viktorovna
2 Ilyashenko, Yulij Sergeevich
2 Lobo, Miguel Sousa
2 Shamaev, Alexei S.
2 Tronel, Gérard
1 Agranovich, Mikhail Semënovich
1 Alkhutov, Yuriy Alexandrovich
1 Allouche, Jean-Paul Simon
1 Bagirov, Lev A.
1 Borovskikh, A. V.
1 Brezzi, Franco
1 Brillard, Alain
1 Butuzov, Valentin Fëdorovich
1 Bykov, Vladimir Vladislavovich
1 Chubarikov, Vladimir Nikolaevich
1 Dales, H. Garth
1 Filimonova, I. V.
1 Filinovskiĭ, Alexeĭ Vladislavovich
1 Gavrilov, I. A.
1 Gentili, Graziano
1 Gologan, Radu-Nicolae
1 Goritskiĭ, Andreĭ Yur’evich
1 Izobov, Nikolaĭ Alekseevich
1 Jacob, Christine
1 Jensen, Arne
1 Kapustina, T. O.
1 Kresin, Gershon I.
1 Krichever, Igor’ Moiseevich
1 Matrosov, I. V.
1 Merzbach, Ely
1 Mikhalëv, Aleksandr Vasil’evich
1 Moiseev, Evgeniĭ Ivanovich
1 Palin, Vladimir Vladimirovich
1 Pérez, María Eglée
1 Pisanski, Tomaž
1 Pokhozhaev, Stanislav I.
1 Prössdorf, Siegfried
1 Quirós Gracián, Adolfo
1 Rozanova, Olga S.
1 Sadovnichiĭ, Viktor Antonovich
1 Shaposhnikova, T. L.
1 Shkalikov, Andreĭ Andreevich
1 Skubachevskiĭ, Aleksandr Leonidovich
1 Sobolevskii, Pavel Evseyevich
1 Solomyak, Mikhaĭl Zakharovich
1 Sukharev, Vladimir V.
1 Surnachëv, Mikhaĭl Dmitrievich
1 Tikhomirov, Vladimir Mikhaĭlovich
1 Vetokhin, Alexandr N.
1 Vlasov, Viktor Valentinovich
1 Zhikov, Vasiliĭ Vasil’evich

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 334 times in 98 Documents Cited by Year
Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem. Zbl 1217.35049
Zubova, M. N.; Shaposhnikova, T. A.
31
2011
On homogenization of solutions of boundary value problems in domains, perforated along manifolds. Zbl 1170.35320
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A.
24
1997
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Zbl 0878.35011
Oleinik, Olga A.; Shaposhnikova, Tatiana A.
22
1996
On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems. Zbl 1263.35023
Gómez, D.; Pérez, E.; Shaposhnikova, T. A.
16
2012
Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain. Zbl 1295.35048
Jäger, Willi; Neuss-Radu, Maria; Shaposhnikova, Tatiana A.
16
2014
Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions. Zbl 1307.35031
Pérez, M. E.; Zubova, M. N.; Shaposhnikova, T. A.
13
2014
Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds. Zbl 1262.35021
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A.
13
2013
Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities. Zbl 1233.35075
Lobo, M.; Perez, M. E.; Sukharev, V. V.; Shaposhnikova, T. A.
11
2011
On homogenization problems for the Laplace operator in partially perforated domains with Neumann’s condition on the boundary of cavities. Zbl 0848.35009
Oleinik, Olga A.; Shaposhnikova, Tatiana
11
1995
Homogenization of the \(p\)-Laplacian with nonlinear boundary condition on critical size particles: identifying the strange term for the some non smooth and multivalued operators. Zbl 1458.35185
Diaz, J. I.; Gómez-Castro, D.; Podol’skii, A. V.; Shaposhnikova, T. A.
9
2016
On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems. Zbl 1332.35025
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A.; Zubova, M. N.
8
2015
Homogenization of variational inequalities of Signorini type for the \(p\)-Laplacian in perforated domains when \(p\in(1, 2)\). Zbl 1370.35036
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A.
8
2017
Boundary homogenization in perforated domains for adsorption problems with an advection term. Zbl 1362.35034
Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A.
8
2016
Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\). Zbl 1332.35031
Podol’skiy, A. V.; Shaposhnikova, T. A.
7
2015
Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size. Zbl 1370.35031
Ildefonso Díaz, Jesús; Gómez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N.
7
2017
Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. Zbl 1408.35005
Shaposhnikova, T.; Podolskiy, A.
6
2012
Homogenization of the Neumann problem in a domain a part of which is a set of channels. Zbl 1035.35011
Shaposhnikova, T. A.
6
2001
Unilateral problems for the \(p\)-Laplace operator in perforated media involving large parameters. Zbl 1409.35023
Gómez, Delfina; Lobo, Miguel; Pérez, Eugenia; Podolskii, Alexander V.; Shaposhnikova, Tatiana A.
6
2018
Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size. Zbl 1213.35061
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A.
6
2010
Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds. Zbl 1416.35030
Gómez, D.; Pérez, E.; Podolskii, A. V.; Shaposhnikova, T. A.
5
2019
On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media. Zbl 1373.35018
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A.
5
2017
Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds. Zbl 1305.35136
Gómez, D.; Lobo, M.; Pérez, E.; Podolskiy, A. V.; Shaposhnikova, T. A.
5
2014
Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain. Zbl 1173.35428
Vorob’ev, A. Yu.; Shaposhnikova, T. A.
4
2003
Homogenization of solutions of the Poisson equation in a domain perforated along a hypersurface, with mixed boundary conditions on the boundary of the cavities. Zbl 0921.35015
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A.
4
1998
Homogenization problem for a parabolic variational inequality with constraints on subsets situated on the boundary of the domain. Zbl 1156.35317
Shaposhnikova, T. A.; Zubova, M. N.
4
2008
On homogenization of solutions of the Poisson equation in a perforated domain with different types of boundary conditions on different cavities. Zbl 0903.35005
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A.
4
1997
Spectral boundary homogenization problems in perforated domains with Robin boundary conditions and large parameters. Zbl 1292.35184
Gómez, D.; Pérez, M. E.; Shaposhnikova, T. A.
4
2013
Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities. Zbl 1277.35145
Zubova, M. N.; Shaposhnikova, T. A.
4
2013
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles. Zbl 1428.35025
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N.
4
2019
Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case. Zbl 1332.35026
Gómez, D.; Pérez, M. E.; Podolskiy, A. V.; Shaposhnikova, T. A.
3
2015
Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space. Zbl 1343.49014
Gomez, D.; Pérez, Maria E.; Lobo, Miguel; Podolsky, A. V.; Shaposhnikova, T. A.
3
2016
On boundary-value problems in domains perforated along manifolds. Zbl 0918.35019
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A.
3
1997
On the averaging for a partially perforated domain with a mixed boundary condition with a small parameter on the cavity boundary. Zbl 0866.35014
Oleinik, O. A.; Shaposhnikova, T. A.
3
1995
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes. Zbl 1421.35016
Díaz, Jesús Ildefonso; Gómez-Castro, David; Podolskiy, Alexander V.; Shaposhnikova, Tatiana A.
3
2020
Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case. Zbl 1403.35033
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A.
3
2018
Homogenization of the variational inequality corresponding to a problem with rapidly varying boundary conditions. Zbl 1157.35010
Zubova, M. N.; Shaposhnikova, T. A.
3
2007
Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain – the influence of the scaling on the nonlinearity in the effective sink-source term. Zbl 1291.35112
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A.
3
2011
Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case. Zbl 1375.35030
Zubova, M. N.; Shaposhnikova, T. A.
3
2017
Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case. Zbl 1391.35041
Podolskiy, A. V.; Shaposhnikova, T. A.
3
2017
Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling. Zbl 1233.35104
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A.
2
2011
On boundary homogenization of variational inequalities. Zbl 1196.35042
Shaposhnikova, T. A.; Zubova, M. N.
2
2009
On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension. Zbl 0894.31003
Oleinik, O. A.; Shaposhnikova, T. A.
2
1996
Homogenization of variational inequality for the Laplace operator with nonlinear constraint on the flow in a domain perforated by arbitrary shaped sets. Critical case. Zbl 1402.35035
Shaposhnikova, T. A.; Zubova, M. N.
2
2018
Characterizing the strange term in critical size homogenization: quasilinear equations with a general microscopic boundary condition. Zbl 1416.35029
Díaz, Jesus Ildefonso; Gómez-Castro, David; Podol’skii, Alexander V.; Shaposhnikova, Tatiana A.
2
2019
Boundary homogenization of a variational inequality with nonlinear restrictions for the flux on small regions lying on a part of the boundary. Zbl 1269.35003
Pérez, M. E.; Shaposhnikova, T. A.
2
2012
Homogenization problem in domain perforated by thin tubes with nonlinear Robin type boundary condition. Zbl 1284.35338
Gómez, D.; Lobo, M.; Perez, M. E.; Shaposhnikova, T. A.; Zubova, M. N.
2
2013
Non existence of critical scales in the homogenization of the problem with \(p\)-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in \(n\)-dimensional domains when \(p > n\). Zbl 1390.35013
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A.
2
2018
Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. Zbl 1428.35031
Zubova, M. N.; Shaposhnikova, T. A.
2
2019
On the homogenization of some boundary-value problems in domains with thin channels. Zbl 1120.35009
Shaposhnikova, T. A.
1
2005
On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated along \(n-1\) dimension manifold inclusions. Zbl 1127.35312
Zubova, M. N.; Shaposhnikova, T. A.
1
2007
The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space. Zbl 0917.35009
Shaposhnikova, T. A.
1
1996
On averaging of elliptic problems in perforated domains with non-periodic structure. Zbl 0919.35016
Oleinik, O. A.; Shaposhnikova, T. A.
1
1997
On the convergence of solutions of parabolic equations with rapidly oscillating coefficients in perforated domains. Zbl 0844.35008
Shaposhnikova, T. A.
1
1994
Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length. Zbl 1041.35014
Shaposhnikova, T. A.
1
2001
On the averaging of a boundary value problem for the biharmonic equation in a domain containing thin short channels. Zbl 1090.35503
Shaposhnikova, T. A.; Shaposhnikova, T. L.
1
2001
On homogenization of a boundary value problem in a domain with thin channels of a small length. Zbl 1005.35016
Oleinik, Olga A.; Shaposhnikova, Tatiana A.
1
2000
On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated inclusions. Zbl 1085.49014
Zubova, M. N.; Shaposhnikova, T. A.
1
2005
Averaging of the biharmonic equation in a domain perforated along low-dimensional manifolds. Zbl 0882.31001
Oleinik, O. A.; Shaposhnikova, T. A.
1
1996
A nonlocal memory strange term arising in the critical scale homogenization of diffusion equations with dynamic boundary conditions. Zbl 1421.35017
Ildefonso Diaz, Jesus; Gomez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N.
1
2019
On the convergence of solutions of one boundary value problem for the biharmonic equation in a domain dependent on small parameter \(\varepsilon\). Zbl 1045.35021
Gavrilov, I. A.; Shaposhnikova, T. A.
1
2003
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
1
2013
Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters. Zbl 1435.35040
Zubova, M. N.; Shaposhnikova, T. A.
1
2020
Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. Zbl 1479.35252
Podolskiy, A. V.; Shaposhnikova, T. A.
1
2020
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes. Zbl 1421.35016
Díaz, Jesús Ildefonso; Gómez-Castro, David; Podolskiy, Alexander V.; Shaposhnikova, Tatiana A.
3
2020
Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters. Zbl 1435.35040
Zubova, M. N.; Shaposhnikova, T. A.
1
2020
Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. Zbl 1479.35252
Podolskiy, A. V.; Shaposhnikova, T. A.
1
2020
Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds. Zbl 1416.35030
Gómez, D.; Pérez, E.; Podolskii, A. V.; Shaposhnikova, T. A.
5
2019
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles. Zbl 1428.35025
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N.
4
2019
Characterizing the strange term in critical size homogenization: quasilinear equations with a general microscopic boundary condition. Zbl 1416.35029
Díaz, Jesus Ildefonso; Gómez-Castro, David; Podol’skii, Alexander V.; Shaposhnikova, Tatiana A.
2
2019
Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. Zbl 1428.35031
Zubova, M. N.; Shaposhnikova, T. A.
2
2019
A nonlocal memory strange term arising in the critical scale homogenization of diffusion equations with dynamic boundary conditions. Zbl 1421.35017
Ildefonso Diaz, Jesus; Gomez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N.
1
2019
Unilateral problems for the \(p\)-Laplace operator in perforated media involving large parameters. Zbl 1409.35023
Gómez, Delfina; Lobo, Miguel; Pérez, Eugenia; Podolskii, Alexander V.; Shaposhnikova, Tatiana A.
6
2018
Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case. Zbl 1403.35033
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A.
3
2018
Homogenization of variational inequality for the Laplace operator with nonlinear constraint on the flow in a domain perforated by arbitrary shaped sets. Critical case. Zbl 1402.35035
Shaposhnikova, T. A.; Zubova, M. N.
2
2018
Non existence of critical scales in the homogenization of the problem with \(p\)-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in \(n\)-dimensional domains when \(p > n\). Zbl 1390.35013
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A.
2
2018
Homogenization of variational inequalities of Signorini type for the \(p\)-Laplacian in perforated domains when \(p\in(1, 2)\). Zbl 1370.35036
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A.
8
2017
Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size. Zbl 1370.35031
Ildefonso Díaz, Jesús; Gómez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N.
7
2017
On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media. Zbl 1373.35018
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A.
5
2017
Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case. Zbl 1375.35030
Zubova, M. N.; Shaposhnikova, T. A.
3
2017
Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case. Zbl 1391.35041
Podolskiy, A. V.; Shaposhnikova, T. A.
3
2017
Homogenization of the \(p\)-Laplacian with nonlinear boundary condition on critical size particles: identifying the strange term for the some non smooth and multivalued operators. Zbl 1458.35185
Diaz, J. I.; Gómez-Castro, D.; Podol’skii, A. V.; Shaposhnikova, T. A.
9
2016
Boundary homogenization in perforated domains for adsorption problems with an advection term. Zbl 1362.35034
Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A.
8
2016
Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space. Zbl 1343.49014
Gomez, D.; Pérez, Maria E.; Lobo, Miguel; Podolsky, A. V.; Shaposhnikova, T. A.
3
2016
On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems. Zbl 1332.35025
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A.; Zubova, M. N.
8
2015
Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\). Zbl 1332.35031
Podol’skiy, A. V.; Shaposhnikova, T. A.
7
2015
Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case. Zbl 1332.35026
Gómez, D.; Pérez, M. E.; Podolskiy, A. V.; Shaposhnikova, T. A.
3
2015
Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain. Zbl 1295.35048
Jäger, Willi; Neuss-Radu, Maria; Shaposhnikova, Tatiana A.
16
2014
Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions. Zbl 1307.35031
Pérez, M. E.; Zubova, M. N.; Shaposhnikova, T. A.
13
2014
Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds. Zbl 1305.35136
Gómez, D.; Lobo, M.; Pérez, E.; Podolskiy, A. V.; Shaposhnikova, T. A.
5
2014
Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds. Zbl 1262.35021
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A.
13
2013
Spectral boundary homogenization problems in perforated domains with Robin boundary conditions and large parameters. Zbl 1292.35184
Gómez, D.; Pérez, M. E.; Shaposhnikova, T. A.
4
2013
Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities. Zbl 1277.35145
Zubova, M. N.; Shaposhnikova, T. A.
4
2013
Homogenization problem in domain perforated by thin tubes with nonlinear Robin type boundary condition. Zbl 1284.35338
Gómez, D.; Lobo, M.; Perez, M. E.; Shaposhnikova, T. A.; Zubova, M. N.
2
2013
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
1
2013
On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems. Zbl 1263.35023
Gómez, D.; Pérez, E.; Shaposhnikova, T. A.
16
2012
Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. Zbl 1408.35005
Shaposhnikova, T.; Podolskiy, A.
6
2012
Boundary homogenization of a variational inequality with nonlinear restrictions for the flux on small regions lying on a part of the boundary. Zbl 1269.35003
Pérez, M. E.; Shaposhnikova, T. A.
2
2012
Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem. Zbl 1217.35049
Zubova, M. N.; Shaposhnikova, T. A.
31
2011
Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities. Zbl 1233.35075
Lobo, M.; Perez, M. E.; Sukharev, V. V.; Shaposhnikova, T. A.
11
2011
Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain – the influence of the scaling on the nonlinearity in the effective sink-source term. Zbl 1291.35112
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A.
3
2011
Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling. Zbl 1233.35104
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A.
2
2011
Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size. Zbl 1213.35061
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A.
6
2010
On boundary homogenization of variational inequalities. Zbl 1196.35042
Shaposhnikova, T. A.; Zubova, M. N.
2
2009
Homogenization problem for a parabolic variational inequality with constraints on subsets situated on the boundary of the domain. Zbl 1156.35317
Shaposhnikova, T. A.; Zubova, M. N.
4
2008
Homogenization of the variational inequality corresponding to a problem with rapidly varying boundary conditions. Zbl 1157.35010
Zubova, M. N.; Shaposhnikova, T. A.
3
2007
On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated along \(n-1\) dimension manifold inclusions. Zbl 1127.35312
Zubova, M. N.; Shaposhnikova, T. A.
1
2007
On the homogenization of some boundary-value problems in domains with thin channels. Zbl 1120.35009
Shaposhnikova, T. A.
1
2005
On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated inclusions. Zbl 1085.49014
Zubova, M. N.; Shaposhnikova, T. A.
1
2005
Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain. Zbl 1173.35428
Vorob’ev, A. Yu.; Shaposhnikova, T. A.
4
2003
On the convergence of solutions of one boundary value problem for the biharmonic equation in a domain dependent on small parameter \(\varepsilon\). Zbl 1045.35021
Gavrilov, I. A.; Shaposhnikova, T. A.
1
2003
Homogenization of the Neumann problem in a domain a part of which is a set of channels. Zbl 1035.35011
Shaposhnikova, T. A.
6
2001
Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length. Zbl 1041.35014
Shaposhnikova, T. A.
1
2001
On the averaging of a boundary value problem for the biharmonic equation in a domain containing thin short channels. Zbl 1090.35503
Shaposhnikova, T. A.; Shaposhnikova, T. L.
1
2001
On homogenization of a boundary value problem in a domain with thin channels of a small length. Zbl 1005.35016
Oleinik, Olga A.; Shaposhnikova, Tatiana A.
1
2000
Homogenization of solutions of the Poisson equation in a domain perforated along a hypersurface, with mixed boundary conditions on the boundary of the cavities. Zbl 0921.35015
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A.
4
1998
On homogenization of solutions of boundary value problems in domains, perforated along manifolds. Zbl 1170.35320
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A.
24
1997
On homogenization of solutions of the Poisson equation in a perforated domain with different types of boundary conditions on different cavities. Zbl 0903.35005
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A.
4
1997
On boundary-value problems in domains perforated along manifolds. Zbl 0918.35019
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A.
3
1997
On averaging of elliptic problems in perforated domains with non-periodic structure. Zbl 0919.35016
Oleinik, O. A.; Shaposhnikova, T. A.
1
1997
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Zbl 0878.35011
Oleinik, Olga A.; Shaposhnikova, Tatiana A.
22
1996
On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension. Zbl 0894.31003
Oleinik, O. A.; Shaposhnikova, T. A.
2
1996
The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space. Zbl 0917.35009
Shaposhnikova, T. A.
1
1996
Averaging of the biharmonic equation in a domain perforated along low-dimensional manifolds. Zbl 0882.31001
Oleinik, O. A.; Shaposhnikova, T. A.
1
1996
On homogenization problems for the Laplace operator in partially perforated domains with Neumann’s condition on the boundary of cavities. Zbl 0848.35009
Oleinik, Olga A.; Shaposhnikova, Tatiana
11
1995
On the averaging for a partially perforated domain with a mixed boundary condition with a small parameter on the cavity boundary. Zbl 0866.35014
Oleinik, O. A.; Shaposhnikova, T. A.
3
1995
On the convergence of solutions of parabolic equations with rapidly oscillating coefficients in perforated domains. Zbl 0844.35008
Shaposhnikova, T. A.
1
1994
all top 5

Cited by 84 Authors

39 Shaposhnikova, Tatiana A.
20 Podolskii, Alexander V.
14 Gómez, Delfina
13 Zubova, Maria N.
12 Diaz Diaz, Jesus Ildefonso
10 Gómez-Castro, David
9 Chechkin, Gregory Aleksandrovich
7 Pérez, Eugenia
6 Neuss-Radu, Maria
5 Gadyl’shin, Rustem R.
5 Pérez-martínez, María-eugenia
4 Jäger, Willi
3 Gahn, Markus
3 Lobo, Miguel Sousa
3 Mel’nyk, Taras A.
3 Nazarov, Sergeĭ Aleksandrovich
3 Piatnitski, Andrey L.
3 Ptashnyk, Mariya
2 Bekmaganbetov, Kuanysh Abdrakhmanovich
2 Borisov, Denis Ivanovich
2 Brillard, Alain
2 Chepyzhov, Vladimir V.
2 Koroleva, Yu. O.
2 Kozhevnikov, Denis Vladimirovich
2 Mel’nik, T. A.
2 Orlik, Julia
2 Pereira, Marcone Corrêa
2 Sivak, Olena A.
2 Yablokov, V. V.
1 Amirat, Youcef Aït
1 Anderson, Ross J.
1 Argyros, Ioannis Konstantinos
1 Astashova, Irina Viktorovna
1 Belyaev, Alexander G.
1 Bhattacharya, Apratim
1 Bobylëva, T. N.
1 Cardone, Giuseppe
1 Chiadò Piat, Valeria
1 Chung, Tsz Shun Eric
1 Delgado, Miguel de Benito
1 Donato, Patrizia
1 Dörlemann, Christina
1 Durante, Tiziana
1 El Jarroudi, Mustapha
1 Erov, S. T.
1 Gaudiello, Antonio
1 Giachetti, Daniela
1 González, Daniel
1 Heida, Martin
1 Kazmerchuk, Yu. A.
1 Khil’kova, L. O.
1 Khruslov, Eugene Yakovlevich
1 Koroleva, Yulia
1 Köry, Jakub
1 Lazarev, Nyurgun Petrovich
1 Li, Hengyan
1 Lobkova, Tatiana
1 Manifavas, Charalampos
1 Marušić-Paloka, Eduard
1 Meidell, Annette
1 Mikhailov, Sergey E.
1 Mukhametrakhimova, A. I.
1 Musolino, Paolo
1 Nakvasiuk, Iulia A.
1 Neves, Mario jun.
1 Nguetseng, Gabriel
1 Oleĭnik, Ol’ga Arsen’evna
1 Orive Illera, Rafael
1 Pažanin, Igor
1 Pérez, María Eglée
1 Persson, Lars-Erik
1 Rossi, Julio Daniel
1 Rudoy, Evgeny Mikhailovich
1 Rybalko, Volodymyr
1 Sastre-Gómez, Silvia
1 Schweizer, Ben
1 Shamaev, Alexei S.
1 Shelukhin, Vladimir Valentinovich
1 Sukharev, Vladimir V.
1 Timofte, Claudia
1 Vasilyeva, Maria V.
1 Wang, Yating
1 Woukeng, Jean Louis
1 Yan, Weiping
all top 5

Cited in 40 Serials

17 Journal of Mathematical Sciences (New York)
17 Doklady Mathematics
6 Applicable Analysis
5 Journal of Mathematical Analysis and Applications
3 Journal of Computational and Applied Mathematics
3 Differential Equations
2 Mathematical Methods in the Applied Sciences
2 SIAM Journal on Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Analysis. Real World Applications
2 Advances in Nonlinear Analysis
1 Mathematical Biosciences
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Optimization
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Siberian Mathematical Journal
1 Acta Mathematicae Applicatae Sinica. English Series
1 European Journal of Applied Mathematics
1 Applications of Mathematics
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Russian Journal of Mathematical Physics
1 Opuscula Mathematica
1 Sbornik: Mathematics
1 Vietnam Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Multiscale Modeling & Simulation
1 Boundary Value Problems
1 Nonlinear Oscillations
1 Networks and Heterogeneous Media
1 International Journal of Differential Equations
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Journal of Elliptic and Parabolic Equations

Citations by Year