Kovalevsky Alexander Albertovich

Publications in Math-Net.Ru

1. Nonlinear elliptic variational inequalities with unilateral pointwise functional constraints in variable domains
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  132–148
2. Conditions for the limit summability of solutions of nonlinear elliptic equations with degenerate coercivity and $L^1$-data
   
   Vladikavkaz. Mat. Zh., 27:2 (2025),  35–51
3. Nonlinear variational inequalities with bilateral constraints coinciding on a set of positive measure
   
   Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024),  79–83
4. Criteria for the existence of weak solutions of the Dirichlet problem for nonlinear degenerate elliptic equations for any right-hand side in $L^1$
   
   Mat. Zametki, 116:3 (2024),  482–485
5. On the convergence of minimizers and minimum values in variational problems with pointwise functional constraints in variable domains
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  246–257
6. Summability of Solutions of the Dirichlet Problem for Nonlinear Elliptic Equations with Right-Hand Side in Classes Close to $L^1$
   
   Mat. Zametki, 107:6 (2020),  934–939
7. Integrability Properties of Functions with a Given Behavior of Distribution Functions and Some Applications
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  78–92
8. On the Convergence of Solutions of Variational Problems with Implicit Pointwise Constraints in Variable Domains
   
   Funktsional. Anal. i Prilozhen., 52:2 (2018),  82–85
9. On the convergence of solutions of variational problems with implicit constraints defined by rapidly oscillating functions
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  107–122
10. Variational problems with unilateral pointwise functional constraints in variable domains
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  133–150
11. Convergence of solutions of bilateral problems in variable domains and related questions
    
    Ural Math. J., 3:2 (2017),  51–66
12. On the convergence of solutions of variational problems with bilateral obstacles in variable domains
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  140–152
13. Toward the $L^1$-theory of degenerate anisotropic elliptic variational inequalities
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  137–152
14. On $T$-solutions of degenerate anisotropic elliptic variational inequalities with $L^1$-data
    
    Izv. RAN. Ser. Mat., 75:1 (2011),  101–160
15. A priori properties of solutions of nonlinear equations with degenerate coercivity and $L^1$-data
    
    CMFD, 16 (2006),  47–67
16. On the sets of boundedness of solutions for a class of degenerate nonlinear elliptic fourth-order equations with $L^1$-data
    
    Fundam. Prikl. Mat., 12:4 (2006),  99–112
17. On the summability of entropy solutions for the Dirichlet problem in a class of non-linear elliptic fourth-order equations
    
    Izv. RAN. Ser. Mat., 67:5 (2003),  35–48
18. Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Logarithmic Classes
    
    Mat. Zametki, 74:5 (2003),  676–685
19. Entropy solutions of the Dirichlet problem for a class of non-linear elliptic fourth-order equations with right-hand sides in $L^1$
    
    Izv. RAN. Ser. Mat., 65:2 (2001),  27–80
20. Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Classes Close to $L^1$
    
    Mat. Zametki, 70:3 (2001),  375–385
21. A necessary condition for the strong $G$-convergence of nonlinear operators of Dirichlet problems with variable domain
    
    Differ. Uravn., 36:4 (2000),  537–541
22. $G$-compactness of sequences of non-linear operators of Dirichlet problems with a variable domain of definition
    
    Izv. RAN. Ser. Mat., 60:1 (1996),  133–164
23. On the uniform boundedness of solutions of nonlinear elliptic variational inequalities in variable domains
    
    Differ. Uravn., 30:8 (1994),  1370–1373
24. $G$-convergence and homogenization of nonlinear elliptic operators in divergence form with variable domain
    
    Izv. RAN. Ser. Mat., 58:3 (1994),  3–35


25. Valerii Vladimirovich Volchkov (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 80:2(482) (2025),  184–189
26. Anatolii Fedorovich Tedeev (on his 70's anniversary)
    
    Vladikavkaz. Mat. Zh., 27:2 (2025),  148–149