Sychev Mikhail Andreevich

Publications in Math-Net.Ru

1. Direct methods in variational field theory
   
   Sibirsk. Mat. Zh., 63:5 (2022),  1027–1034
2. Variational field theory from the point of view of direct methods
   
   Sibirsk. Mat. Zh., 58:5 (2017),  1150–1158
3. The theorem on convergence with a functional for integral functionals with $p(x)$- and $p(x,u)$-growth
   
   Sibirsk. Mat. Zh., 53:4 (2012),  931–942
4. Lower semicontinuity and relaxation for integral functionals with $p(x)$- and $p(x,u)$-growth
   
   Sibirsk. Mat. Zh., 52:6 (2011),  1394–1413
5. Theorems on lower semicontinuity and relaxation for integrands with fast growth
   
   Sibirsk. Mat. Zh., 46:3 (2005),  679–697
6. Young measures as measurable functions and applications to variational problems
   
   Zap. Nauchn. Sem. POMI, 310 (2004),  191–212
7. Examples of scalar regular variational problems that are unsolvable in the classical sense and satisfy standard growth conditions
   
   Sibirsk. Mat. Zh., 37:6 (1996),  1380–1396
8. Conditions on the integrand that are necessary and sufficient for the validity of a theorem on convergence with a functional
   
   Dokl. Akad. Nauk, 344:6 (1995),  749–752
9. Necessary and sufficient conditions in semicontinuity and convergence theorems with a functional
   
   Mat. Sb., 186:6 (1995),  77–108
10. Qualitative properties of solutions to the Euler equation and solvability of one-dimensional regular variational problems in the classical sense
    
    Sibirsk. Mat. Zh., 36:4 (1995),  873–892
11. About continuous dependence on the integrand of solutions to simplest variational problems
    
    Sibirsk. Mat. Zh., 36:2 (1995),  432–443
12. A criterion for continuity of an integral functional on a sequence of functions
    
    Sibirsk. Mat. Zh., 36:1 (1995),  203–214
13. Solvability of classical regular one-dimensional variational problems as a corollary of the solvability of the Euler equation
    
    Dokl. Akad. Nauk, 337:5 (1994),  585–588
14. Lebesgue measure of the universal singular set for the simplest problems in the calculus of variations
    
    Sibirsk. Mat. Zh., 35:6 (1994),  1373–1389
15. On the question of regularity of the solutions of variational problems
    
    Mat. Sb., 183:4 (1992),  118–142
16. A classical problem of the calculus of variations
    
    Dokl. Akad. Nauk SSSR, 319:2 (1991),  292–295
17. Regularity of solutions of some variational problems
    
    Dokl. Akad. Nauk SSSR, 316:6 (1991),  1326–1330


18. Erratum: “A classical problem of the calculus of variations”
    
    Dokl. Akad. Nauk SSSR, 321:6 (1991),  1128