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1

Necessary and sufficient condition for the stabilization of the solution to the initial-boundary value problem for second-order nondivergence parabolic equations

Alkhutov, Yu. A., Denisov, V. N.

Journal:

Doklady Mathematics

Year:

2013

Language:

english

File:

PDF, 218 KB

english, 2013

2

On the Regularity of a Boundary Point for the p(x)-Laplacian

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Doklady Mathematics

Year:

2018

Language:

english

File:

PDF, 121 KB

english, 2018

3

Regularity of a Boundary Point for the p(x)-Laplacian

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Journal of Mathematical Sciences

Year:

2018

Language:

english

File:

PDF, 309 KB

english, 2018

4

Regularity of boundary points relative to the Dirichlet problem for second-order elliptic equations

Yu. A. Alkhutov

Journal:

Mathematical Notes

Year:

1981

Language:

english

File:

PDF, 345 KB

english, 1981

5

Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent

Alkhutov, Yu A, Zhikov, V V

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2014

Language:

english

File:

PDF, 574 KB

english, 2014

6

THE FIRST BOUNDARY VALUE PROBLEM FOR NONDIVERGENCE SECOND ORDER PARABOLIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

Alkhutov, Yu A, Mamedov, I T

Journal:

Mathematics of the USSR-Sbornik

Year:

1988

Language:

english

File:

PDF, 799 KB

english, 1988

7

Removable singularities of solutions of second-order parabolic equations

Yu. A. Alkhutov

Journal:

Mathematical Notes

Year:

1991

Language:

english

File:

PDF, 478 KB

english, 1991

8

Lp-Solvability of the Dirichlet problem for second order parabolic equations

Yu. A. Alkhutov, A. N. Gordeev

Journal:

Journal of Mathematical Sciences

Year:

2011

Language:

english

File:

PDF, 309 KB

english, 2011

9

Lp-solvability of the Dirichlet problem for the heat equation in noncylindrical domains with isolated characteristic points at the boundary

Yu. A. Alkhutov, L. I. Kurlykova

Journal:

Journal of Mathematical Sciences

Year:

2011

Language:

english

File:

PDF, 288 KB

english, 2011

10

Existence theorems for solutions of parabolic equations with variable order of nonlinearity

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2010

Language:

english

File:

PDF, 1.20 MB

english, 2010

11

Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Doklady Mathematics

Year:

2010

Language:

english

File:

PDF, 195 KB

english, 2010

12

A Class of Degenerate Elliptic Equations

Yu.A. Alkhutov, V.V. Zhikov

Journal:

Journal of Mathematical Sciences

Year:

2004

Language:

english

File:

PDF, 118 KB

english, 2004

13

L1,p–Coercitivity and Estimates of the Green Function of the Neumann Problem in a Convex Domain

Alkhutov, Yu., Mazâya, V. G.

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 228 KB

english, 2014

14

Lp–Estimates of Solution to the Dirichlet Problem for the Heat Operator in a Ball

Alkhutov, Yu. A., Kurlykova, L. I.

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 218 KB

english, 2014

15

Hölder continuity of solutions to a degenerate elliptic equation in the presence of the Lavrentiev phenomenon

Alkhutov, Yu. A., Zhikov, V.V.

Journal:

Applicable Analysis

Year:

2014

Language:

english

File:

PDF, 236 KB

english, 2014

16

The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point

Alkhutov, Yu., Borsuk, M. V.

Journal:

Journal of Mathematical Sciences

Year:

2015

Language:

english

File:

PDF, 342 KB

english, 2015

17

Smoothness and limiting properties of solutions of a second-order parabolic equation

Yu. A. Alkhutov

Journal:

Mathematical Notes

Year:

1991

Language:

english

File:

PDF, 192 KB

english, 1991

18

The leading term of the spectral asymptotics for the Kohn-Laplace operator in a bounded domain

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Mathematical Notes

Year:

1998

Language:

english

File:

PDF, 558 KB

english, 1998

19

On the Holder Property of One Elliptic Equation

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Journal of Mathematical Sciences

Year:

2005

Language:

english

File:

PDF, 149 KB

english, 2005

20

Lp-estimates of solutions of the Dirichlet problem for the heat equation in a ball

Yu. A. Alkhutov

Journal:

Journal of Mathematical Sciences

Year:

2007

Language:

english

File:

PDF, 176 KB

english, 2007

21

Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Journal of Mathematical Sciences

Year:

2011

Language:

english

File:

PDF, 509 KB

english, 2011

22

Hölder continuity of solutions of an elliptic equation uniformly degenerating on part of the domain

Yu. A. Alkhutov, S. T. Guseinov

Journal:

Differential Equations

Year:

2009

Language:

english

File:

PDF, 325 KB

english, 2009

23

On the continuity of solutions to elliptic equations with variable order of nonlinearity

Yu. A. Alkhutov, O. V. Krasheninnikova

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2008

Language:

english

File:

PDF, 1.30 MB

english, 2008

24

Hölder continuity of solutions to degenerate nondivergence elliptic equations of the second order

Yu. A. Alkhutov

Journal:

Doklady Mathematics

Year:

2007

Language:

english

File:

PDF, 159 KB

english, 2007

25

Harnack inequality for a class of second-order degenerate elliptic equations

Yu. A. Alkhutov, E. A. Khrenova

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2012

Language:

english

File:

PDF, 1.14 MB

english, 2012

26

Hölder Continuity of Solutions of Nondivergent Degenerate Second-Order Elliptic Equations

Alkhutov, Yu. A.

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 298 KB

english, 2014

27

Elliptic problems with nonstandard conditions of growth: Zhikov's approach

Journal:

Complex Variables and Elliptic Equations

Year:

2011

Language:

english

File:

PDF, 215 KB

english, 2011

28

Preface

Alkhutov, Yu., Antontsev, S., Gilbert, R., Pankov, A., Radulescu, V.

Journal:

Complex Variables and Elliptic Equations

Year:

2011

Language:

english

File:

PDF, 473 KB

english, 2011

29

Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition

Alkhutov, Yu A, Krasheninnikova, O V

Journal:

Izvestiya Mathematics

Year:

2004

Language:

english

File:

PDF, 454 KB

english, 2004

30

Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero

Alkhutov, Yu. A., Denisov, V. N.

Journal:

Transactions of the Moscow Mathematical Society

Year:

2014

Language:

english

File:

PDF, 368 KB

english, 2014

31

Hölder continuity of $ p(x)$-harmonic functions

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2005

Language:

english

File:

PDF, 86 KB

english, 2005

32

$ L_p$-solubility of the Dirichlet problem for the heat equation in non-cylindrical domains

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2002

Language:

english

File:

PDF, 356 KB

english, 2002

33

Remark on the Hӧlder Continuity ofp(x)-Harmonic Functions

Alkhutov, Yu. A., Krasheninnikova, O. V.

Journal:

Journal of Mathematical Sciences

Year:

2016

Language:

english

File:

PDF, 230 KB

english, 2016

34

On a Harnack inequality for the elliptic (p,q)-Laplacian

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Doklady Mathematics

Year:

2016

Language:

english

File:

PDF, 497 KB

english, 2016

35

A Harnack inequality for a transmission problem with p(x) -Laplacian

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Applicable Analysis

Year:

2018

Language:

english

File:

PDF, 1.30 MB

english, 2018

36

Vasilii Vasil'evich Zhikov

Alkhutov, Yu. A., Astashova, I. V., Bogachev, V. I., Denisov, V. N., Kozlov, V. V., Pastukhova, S. E., Piatnitski, A. L., Sadovnichii, V. A., Stepin, A. M., Shamaev, A. S., Shkalikov, A. A.

Journal:

Russian Mathematical Surveys

Year:

2018

Language:

english

File:

PDF, 970 KB

english, 2018

37

Hölder Continuity of Solutions of an Elliptic p(x)-Laplace Equation Uniformly Degenerate on a Part of the Domain

Alkhutov, Yu. A., Huseynov, S. T.

Journal:

Differential Equations

Year:

2019

Language:

english

File:

PDF, 402 KB

english, 2019

38

Vasilii Vasilievich Zhikov

Alkhutov, Yu. A., Butuzov, V. F., Kozlov, V. V., Kon’kov, A. A., Mikhalev, A. V., Moiseev, E. I., Radkevich, E. V., Rozov, N. Kh., Sadovnichii, V. A., Sergeev, I. N., Surnachev, M. D., Tikhomirov, V.

Journal:

Journal of Mathematical Sciences

Year:

2019

Language:

english

File:

PDF, 72 KB

english, 2019

39

Vasilii Vasilievich Zhikov

Alkhutov, Yu. A., Butuzov, V. F., Kozlov, V. V., Kon’kov, A. A., Mikhalev, A. V., Moiseev, E. I., Radkevich, E. V., Rozov, N. Kh., Sadovnichii, V. A., Sergeev, I. N., Surnachev, M. D., Tikhomirov, V.

Journal:

Journal of Mathematical Sciences

Year:

2019

File:

PDF, 72 KB

2019

40

Harnack’s Inequality for the p(x)-Laplacian with a Two-Phase Exponent p(x)

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Journal of Mathematical Sciences

Year:

2020

File:

PDF, 336 KB

2020

41

HÃ¶lder Continuity and Harnackâs Inequality for p(x)-Harmonic Functions

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2020

File:

PDF, 1.32 MB

2020

42

HÃ¶lder Continuity of Solutions to an Elliptic Equation with Drift Degenerating in a Part of the Domain

Aliev, M. D., Alkhutov, Yu. A.

Journal:

Journal of Mathematical Sciences

Year:

2020

File:

PDF, 169 KB

2020

43

The Boundary Behavior of a Solution to the Dirichlet Problem for the p-Laplacian with Weight Uniformly Degenerate on a Part of Domain with Respect to Small Parameter

Alkhutov, Yu. A., Surnachev, M. D.

Journal:

Journal of Mathematical Sciences

Year:

2020

File:

PDF, 237 KB

2020