Fokht Aleksandr Sergeevich

Publications in Math-Net.Ru

1. On the application of Schauder estimates for solutions of equations of elliptic type to estimates for special functions
   
   Differ. Uravn., 24:10 (1988),  1797–1801
2. Estimates for the solutions of equations of elliptic type and weighted imbedding theorems
   
   Differ. Uravn., 22:8 (1986),  1459–1461
3. The Dirichlet problem on a square and on domains of more general type
   
   Differ. Uravn., 22:5 (1986),  876–881
4. Solution of a problem of Hodgkin–Huxley type on finite domains
   
   Differ. Uravn., 22:3 (1986),  446–452
5. Estimates for solutions of homogeneous linear equations of elliptic type of arbitrary order with variable coefficients near the boundary of the domain
   
   Differ. Uravn., 20:9 (1984),  1572–1577
6. Estimates of solution of equations of elliptic type in the metric of $L_p$, $1<p<\infty$
   
   Differ. Uravn., 20:5 (1984),  870–876
7. Estimate of the derivative of a harmonic function and weighted imbedding theorems connected with it
   
   Differ. Uravn., 20:4 (1984),  659–666
8. Weighted imbedding theorems and their application to estimates of solutions of equations of elliptic type
   
   Differ. Uravn., 20:2 (1984),  337–343
9. Some weighted anisotropic inequalities
   
   Differ. Uravn., 19:9 (1983),  1593–1601
10. Estimates for solutions of equations of elliptic type in the $L_p$ metric
    
    Differ. Uravn., 19:5 (1983),  845–851
11. Estimates for the derivatives of associated Legendre functions and ultraspherical polynomials in the metric $L_p$, $1<p<\infty$
    
    Differ. Uravn., 19:4 (1983),  718–720
12. Weighted imbedding theorems and estimates of solutions of equations of elliptic type. II
    
    Differ. Uravn., 18:11 (1982),  1927–1938
13. Weighted imbedding theorems and estimates of solutions of equations of elliptic type. I
    
    Differ. Uravn., 18:8 (1982),  1440–1449
14. Well-posedness of the FitzHugh problem
    
    Differ. Uravn., 16:6 (1980),  1114–1121
15. Estimates of the solutions of equations of elliptic type in the $L_2$ metric with participation of traces on the boundary of the domain
    
    Differ. Uravn., 15:12 (1979),  2210–2216
16. Bounds for the derivatives of ultraspherical polynomials in the $L_p$, $1<p<+\infty$ and $C$ metrics
    
    Differ. Uravn., 15:4 (1979),  717–724
17. Estimates of the derivatives of the solutions of linear equations of elliptic type on $E^n$ and related weighted imbedding theorems. II
    
    Differ. Uravn., 14:8 (1978),  1455–1464
18. Estimates of the derivatives of the solutions of linear equations of elliptic type on $E^n$ and related weighted imbedding theorems. I
    
    Differ. Uravn., 14:7 (1978),  1302–1312
19. Estimates of the derivatives of associated Legendre functions and related functions in the $L_p$ metrics, $1<p<+\infty$, and in $C$
    
    Differ. Uravn., 14:2 (1978),  318–327
20. Integral estimates of the fractional derivatives of the solutions of linear equations of elliptic type in the $L_2$ metric. II
    
    Differ. Uravn., 12:3 (1976),  529–539
21. Integral estimates of the fractional derivatives of the solutions of linear equations of elliptic type in the $L_2$ metric. I
    
    Differ. Uravn., 11:6 (1975),  1042–1053
22. Integral estimates of the fractional derivatives of a harmonic function, and some of their applications
    
    Differ. Uravn., 9:12 (1973),  2276–2279
23. Estimation in the $L_2$ metric of the derivatives of the solutions of linear nonhomogeneous equations of elliptic type and arbitrary order near the boundary of the domain
    
    Differ. Uravn., 8:7 (1972),  1242–1255
24. Integral estimates of generalized derivatives of solutions of second order elliptic equations in the $L_{p}$ metric and certain imbedding theorems connected with them.
    
    Trudy Mat. Inst. Steklov., 117 (1972),  300–311
25. Integral estimates of the derivatives of $l$-metaharmonic functions in an $N$-dimensional domain in the $L_p$ metric
    
    Differ. Uravn., 7:12 (1971),  2211–2224
26. Integral estimates in the $L_p$ metric of the derivatives of a polyharmonic function in an $n$-dimensional domain, and certain applications of them
    
    Differ. Uravn., 7:8 (1971),  1512–1519
27. Boundary estimates of the derivatives of the solutions of a certain class of hypoelliptic equations in the $L_2$ metric
    
    Differ. Uravn., 6:9 (1970),  1673–1682
28. An integral estimate of the derivatives of a harmonic function of an $N$-dimensional region in the $L_p$ metric, and some applications of it
    
    Differ. Uravn., 6:7 (1970),  1329–1332
29. Estimates of the derivatives of the associated Legendre functions in the $L_2$ metric
    
    Differ. Uravn., 5:1 (1969),  154–158
30. Certain imbedding theorems for the solutions of equations of elliptic type
    
    Trudy Mat. Inst. Steklov., 105 (1969),  230–242
31. A certain estimate of a polyharmonic function and its derivatives near the boundary of the domain. II
    
    Differ. Uravn., 4:8 (1968),  1509–1518
32. A certain estimate of a polyharmonic function and its derivatives near the boundary of the domain. I
    
    Differ. Uravn., 4:7 (1968),  1265–1282
33. A lemma from the calculus of variations and its application to embedding theorems
    
    Dokl. Akad. Nauk SSSR, 176:3 (1967),  536–537
34. Some inequalities in the $L_2$ metric for solutions of equations of elliptic type and for their derivatives near the boundary
    
    Trudy Mat. Inst. Steklov., 77 (1965),  168–191
35. A boundary estimate for the solution of an equation of elliptic type of arbitrary order with variable coefficients where a number of the coefficients are degenerate on the boundary
    
    Dokl. Akad. Nauk SSSR, 154:6 (1964),  1287–1290
36. Some estimates near the boundary of the domain for a polyharmonic function and its derivatives prescribed on an $N$-dimensional domain
    
    Dokl. Akad. Nauk SSSR, 147:4 (1962),  801–804
37. On the growth near the boundary of a polyharmonic function and its derivatives which are prescribed on a circle
    
    Dokl. Akad. Nauk SSSR, 147:1 (1962),  41–44
38. A boundary estimate for the solution of an equation of elliptic type of arbitrary order with constant coefficients
    
    Dokl. Akad. Nauk SSSR, 146:1 (1962),  50–53